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Finding the Third Proportional to 4,516,443,307 and 9,783,379,721

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Solution

The third proportional to 4,516,443,307 and 9,783,379,721 is: 21,192,454,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,443,307 : 9,783,379,721 = 9,783,379,721 : x
  2. Step 2: Convert to fraction form
    4,516,443,307/9,783,379,721 = 9,783,379,721/x
  3. Step 3: Cross multiply
    4,516,443,307x = 9,783,379,721 × 9,783,379,721
  4. Step 4: Simplify right side
    4,516,443,307x = 95,714,518,765,274,038,272
  5. Step 5: Solve for x
    x = 95,714,518,765,274,038,272/4,516,443,307
  6. Step 6: Final answer
    x = 21,192,454,384.83

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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.