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Finding the Third Proportional to 29,951,364 and 42,801,274

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Solution

The third proportional to 29,951,364 and 42,801,274 is: 61,164,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,951,364 : 42,801,274 = 42,801,274 : x
  2. Step 2: Convert to fraction form
    29,951,364/42,801,274 = 42,801,274/x
  3. Step 3: Cross multiply
    29,951,364x = 42,801,274 × 42,801,274
  4. Step 4: Simplify right side
    29,951,364x = 1,831,949,056,023,076
  5. Step 5: Solve for x
    x = 1,831,949,056,023,076/29,951,364
  6. Step 6: Final answer
    x = 61,164,127.82

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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.