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Finding the Third Proportional to 29,951,331 and 42,801,232.50

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Solution

The third proportional to 29,951,331 and 42,801,232.50 is: 61,164,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,951,331 : 42,801,232.50 = 42,801,232.50 : x
  2. Step 2: Convert to fraction form
    29,951,331/42,801,232.50 = 42,801,232.50/x
  3. Step 3: Cross multiply
    29,951,331x = 42,801,232.50 × 42,801,232.50
  4. Step 4: Simplify right side
    29,951,331x = 1,831,945,503,519,056.25
  5. Step 5: Solve for x
    x = 1,831,945,503,519,056.25/29,951,331
  6. Step 6: Final answer
    x = 61,164,076.60

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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.