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Finding the Third Proportional to 63,591,142 and 137,746,606

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Solution

The third proportional to 63,591,142 and 137,746,606 is: 298,376,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,591,142 : 137,746,606 = 137,746,606 : x
  2. Step 2: Convert to fraction form
    63,591,142/137,746,606 = 137,746,606/x
  3. Step 3: Cross multiply
    63,591,142x = 137,746,606 × 137,746,606
  4. Step 4: Simplify right side
    63,591,142x = 18,974,127,464,519,236
  5. Step 5: Solve for x
    x = 18,974,127,464,519,236/63,591,142
  6. Step 6: Final answer
    x = 298,376,894.45

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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.