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Finding the Third Proportional to 3,604,872,185,897.60 and 7,733,050,471,562.60

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Solution

The third proportional to 3,604,872,185,897.60 and 7,733,050,471,562.60 is: 16,588,679,573,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604,872,185,897.60 : 7,733,050,471,562.60 = 7,733,050,471,562.60 : x
  2. Step 2: Convert to fraction form
    3,604,872,185,897.60/7,733,050,471,562.60 = 7,733,050,471,562.60/x
  3. Step 3: Cross multiply
    3,604,872,185,897.60x = 7,733,050,471,562.60 × 7,733,050,471,562.60
  4. Step 4: Simplify right side
    3,604,872,185,897.60x = 59,800,069,595,734,547,212,795,904
  5. Step 5: Solve for x
    x = 59,800,069,595,734,547,212,795,904/3,604,872,185,897.60
  6. Step 6: Final answer
    x = 16,588,679,573,626.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.