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Finding the Third Proportional to 29,647,302,446 and 45,165,614,524

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Solution

The third proportional to 29,647,302,446 and 45,165,614,524 is: 68,806,689,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647,302,446 : 45,165,614,524 = 45,165,614,524 : x
  2. Step 2: Convert to fraction form
    29,647,302,446/45,165,614,524 = 45,165,614,524/x
  3. Step 3: Cross multiply
    29,647,302,446x = 45,165,614,524 × 45,165,614,524
  4. Step 4: Simplify right side
    29,647,302,446x = 2,039,932,735,330,559,721,472
  5. Step 5: Solve for x
    x = 2,039,932,735,330,559,721,472/29,647,302,446
  6. Step 6: Final answer
    x = 68,806,689,547.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.