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Finding the Third Proportional to 3,604,872,185,891 and 7,733,050,471,544.40

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Solution

The third proportional to 3,604,872,185,891 and 7,733,050,471,544.40 is: 16,588,679,573,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604,872,185,891 : 7,733,050,471,544.40 = 7,733,050,471,544.40 : x
  2. Step 2: Convert to fraction form
    3,604,872,185,891/7,733,050,471,544.40 = 7,733,050,471,544.40/x
  3. Step 3: Cross multiply
    3,604,872,185,891x = 7,733,050,471,544.40 × 7,733,050,471,544.40
  4. Step 4: Simplify right side
    3,604,872,185,891x = 59,800,069,595,453,072,236,085,248
  5. Step 5: Solve for x
    x = 59,800,069,595,453,072,236,085,248/3,604,872,185,891
  6. Step 6: Final answer
    x = 16,588,679,573,578.99

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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.