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Finding the Third Proportional to 3,604,872,185,900 and 7,733,050,471,567

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Solution

The third proportional to 3,604,872,185,900 and 7,733,050,471,567 is: 16,588,679,573,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604,872,185,900 : 7,733,050,471,567 = 7,733,050,471,567 : x
  2. Step 2: Convert to fraction form
    3,604,872,185,900/7,733,050,471,567 = 7,733,050,471,567/x
  3. Step 3: Cross multiply
    3,604,872,185,900x = 7,733,050,471,567 × 7,733,050,471,567
  4. Step 4: Simplify right side
    3,604,872,185,900x = 59,800,069,595,802,605,264,568,320
  5. Step 5: Solve for x
    x = 59,800,069,595,802,605,264,568,320/3,604,872,185,900
  6. Step 6: Final answer
    x = 16,588,679,573,634.54

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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.