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Finding the Third Proportional to 4,722,982,020 and 10,934,002,166

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Solution

The third proportional to 4,722,982,020 and 10,934,002,166 is: 25,312,906,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722,982,020 : 10,934,002,166 = 10,934,002,166 : x
  2. Step 2: Convert to fraction form
    4,722,982,020/10,934,002,166 = 10,934,002,166/x
  3. Step 3: Cross multiply
    4,722,982,020x = 10,934,002,166 × 10,934,002,166
  4. Step 4: Simplify right side
    4,722,982,020x = 119,552,403,366,092,685,312
  5. Step 5: Solve for x
    x = 119,552,403,366,092,685,312/4,722,982,020
  6. Step 6: Final answer
    x = 25,312,906,731.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.