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Finding the Third Proportional to 571,856,416 and 1,248,584,344

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Solution

The third proportional to 571,856,416 and 1,248,584,344 is: 2,726,143,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,856,416 : 1,248,584,344 = 1,248,584,344 : x
  2. Step 2: Convert to fraction form
    571,856,416/1,248,584,344 = 1,248,584,344/x
  3. Step 3: Cross multiply
    571,856,416x = 1,248,584,344 × 1,248,584,344
  4. Step 4: Simplify right side
    571,856,416x = 1,558,962,864,081,910,272
  5. Step 5: Solve for x
    x = 1,558,962,864,081,910,272/571,856,416
  6. Step 6: Final answer
    x = 2,726,143,871.89

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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.