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Finding the Third Proportional to 4,472,691,970.50 and 9,730,775,005.50

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Solution

The third proportional to 4,472,691,970.50 and 9,730,775,005.50 is: 21,170,244,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472,691,970.50 : 9,730,775,005.50 = 9,730,775,005.50 : x
  2. Step 2: Convert to fraction form
    4,472,691,970.50/9,730,775,005.50 = 9,730,775,005.50/x
  3. Step 3: Cross multiply
    4,472,691,970.50x = 9,730,775,005.50 × 9,730,775,005.50
  4. Step 4: Simplify right side
    4,472,691,970.50x = 94,687,982,207,663,521,792
  5. Step 5: Solve for x
    x = 94,687,982,207,663,521,792/4,472,691,970.50
  6. Step 6: Final answer
    x = 21,170,244,414.81

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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.