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Finding the Third Proportional to 5,715,658,520 and 12,307,105,564

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Solution

The third proportional to 5,715,658,520 and 12,307,105,564 is: 26,499,981,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715,658,520 : 12,307,105,564 = 12,307,105,564 : x
  2. Step 2: Convert to fraction form
    5,715,658,520/12,307,105,564 = 12,307,105,564/x
  3. Step 3: Cross multiply
    5,715,658,520x = 12,307,105,564 × 12,307,105,564
  4. Step 4: Simplify right side
    5,715,658,520x = 151,464,847,363,439,755,264
  5. Step 5: Solve for x
    x = 151,464,847,363,439,755,264/5,715,658,520
  6. Step 6: Final answer
    x = 26,499,981,906.45

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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.