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Finding the Third Proportional to 35,658,948,416 and 77,725,129,443

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Solution

The third proportional to 35,658,948,416 and 77,725,129,443 is: 169,415,981,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658,948,416 : 77,725,129,443 = 77,725,129,443 : x
  2. Step 2: Convert to fraction form
    35,658,948,416/77,725,129,443 = 77,725,129,443/x
  3. Step 3: Cross multiply
    35,658,948,416x = 77,725,129,443 × 77,725,129,443
  4. Step 4: Simplify right side
    35,658,948,416x = 6,041,195,746,931,105,595,392
  5. Step 5: Solve for x
    x = 6,041,195,746,931,105,595,392/35,658,948,416
  6. Step 6: Final answer
    x = 169,415,981,549.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.