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Finding the Third Proportional to 369,427,609.69 and 803,157,940.13

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Solution

The third proportional to 369,427,609.69 and 803,157,940.13 is: 1,746,113,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,427,609.69 : 803,157,940.13 = 803,157,940.13 : x
  2. Step 2: Convert to fraction form
    369,427,609.69/803,157,940.13 = 803,157,940.13/x
  3. Step 3: Cross multiply
    369,427,609.69x = 803,157,940.13 × 803,157,940.13
  4. Step 4: Simplify right side
    369,427,609.69x = 645,062,676,785,833,088
  5. Step 5: Solve for x
    x = 645,062,676,785,833,088/369,427,609.69
  6. Step 6: Final answer
    x = 1,746,113,879.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.