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Finding the Third Proportional to 31,034,352 and 67,440,624

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Solution

The third proportional to 31,034,352 and 67,440,624 is: 146,554,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034,352 : 67,440,624 = 67,440,624 : x
  2. Step 2: Convert to fraction form
    31,034,352/67,440,624 = 67,440,624/x
  3. Step 3: Cross multiply
    31,034,352x = 67,440,624 × 67,440,624
  4. Step 4: Simplify right side
    31,034,352x = 4,548,237,765,509,376
  5. Step 5: Solve for x
    x = 4,548,237,765,509,376/31,034,352
  6. Step 6: Final answer
    x = 146,554,945.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.