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Finding the Third Proportional to 29,951,352 and 42,801,261

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Solution

The third proportional to 29,951,352 and 42,801,261 is: 61,164,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,951,352 : 42,801,261 = 42,801,261 : x
  2. Step 2: Convert to fraction form
    29,951,352/42,801,261 = 42,801,261/x
  3. Step 3: Cross multiply
    29,951,352x = 42,801,261 × 42,801,261
  4. Step 4: Simplify right side
    29,951,352x = 1,831,947,943,190,121
  5. Step 5: Solve for x
    x = 1,831,947,943,190,121/29,951,352
  6. Step 6: Final answer
    x = 61,164,115.17

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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.