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Finding the Third Proportional to 34,294,028 and 73,972,624

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Solution

The third proportional to 34,294,028 and 73,972,624 is: 159,559,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294,028 : 73,972,624 = 73,972,624 : x
  2. Step 2: Convert to fraction form
    34,294,028/73,972,624 = 73,972,624/x
  3. Step 3: Cross multiply
    34,294,028x = 73,972,624 × 73,972,624
  4. Step 4: Simplify right side
    34,294,028x = 5,471,949,101,445,376
  5. Step 5: Solve for x
    x = 5,471,949,101,445,376/34,294,028
  6. Step 6: Final answer
    x = 159,559,824.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.