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Finding the Third Proportional to 66,913,551 and 102,293,478

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Solution

The third proportional to 66,913,551 and 102,293,478 is: 156,380,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913,551 : 102,293,478 = 102,293,478 : x
  2. Step 2: Convert to fraction form
    66,913,551/102,293,478 = 102,293,478/x
  3. Step 3: Cross multiply
    66,913,551x = 102,293,478 × 102,293,478
  4. Step 4: Simplify right side
    66,913,551x = 10,463,955,641,336,484
  5. Step 5: Solve for x
    x = 10,463,955,641,336,484/66,913,551
  6. Step 6: Final answer
    x = 156,380,217.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.