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Finding the Third Proportional to 65,755,684 and 104,721,846

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Solution

The third proportional to 65,755,684 and 104,721,846 is: 166,778,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,755,684 : 104,721,846 = 104,721,846 : x
  2. Step 2: Convert to fraction form
    65,755,684/104,721,846 = 104,721,846/x
  3. Step 3: Cross multiply
    65,755,684x = 104,721,846 × 104,721,846
  4. Step 4: Simplify right side
    65,755,684x = 10,966,665,029,647,716
  5. Step 5: Solve for x
    x = 10,966,665,029,647,716/65,755,684
  6. Step 6: Final answer
    x = 166,778,966.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.