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Finding the Third Proportional to 29,951,354 and 42,801,264

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Solution

The third proportional to 29,951,354 and 42,801,264 is: 61,164,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,951,354 : 42,801,264 = 42,801,264 : x
  2. Step 2: Convert to fraction form
    29,951,354/42,801,264 = 42,801,264/x
  3. Step 3: Cross multiply
    29,951,354x = 42,801,264 × 42,801,264
  4. Step 4: Simplify right side
    29,951,354x = 1,831,948,199,997,696
  5. Step 5: Solve for x
    x = 1,831,948,199,997,696/29,951,354
  6. Step 6: Final answer
    x = 61,164,119.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.