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Finding the Third Proportional to 132,648,567 and 285,452,526

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Solution

The third proportional to 132,648,567 and 285,452,526 is: 614,278,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,648,567 : 285,452,526 = 285,452,526 : x
  2. Step 2: Convert to fraction form
    132,648,567/285,452,526 = 285,452,526/x
  3. Step 3: Cross multiply
    132,648,567x = 285,452,526 × 285,452,526
  4. Step 4: Simplify right side
    132,648,567x = 81,483,144,599,780,672
  5. Step 5: Solve for x
    x = 81,483,144,599,780,672/132,648,567
  6. Step 6: Final answer
    x = 614,278,363.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.