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Finding the Third Proportional to 13,416,364,514 and 29,068,659,448

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Solution

The third proportional to 13,416,364,514 and 29,068,659,448 is: 62,981,813,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416,364,514 : 29,068,659,448 = 29,068,659,448 : x
  2. Step 2: Convert to fraction form
    13,416,364,514/29,068,659,448 = 29,068,659,448/x
  3. Step 3: Cross multiply
    13,416,364,514x = 29,068,659,448 × 29,068,659,448
  4. Step 4: Simplify right side
    13,416,364,514x = 844,986,962,103,799,644,160
  5. Step 5: Solve for x
    x = 844,986,962,103,799,644,160/13,416,364,514
  6. Step 6: Final answer
    x = 62,981,813,085.21

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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.