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Finding the Third Proportional to 29,951,362 and 42,801,271

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Solution

The third proportional to 29,951,362 and 42,801,271 is: 61,164,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,951,362 : 42,801,271 = 42,801,271 : x
  2. Step 2: Convert to fraction form
    29,951,362/42,801,271 = 42,801,271/x
  3. Step 3: Cross multiply
    29,951,362x = 42,801,271 × 42,801,271
  4. Step 4: Simplify right side
    29,951,362x = 1,831,948,799,215,441
  5. Step 5: Solve for x
    x = 1,831,948,799,215,441/29,951,362
  6. Step 6: Final answer
    x = 61,164,123.33

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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.