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Finding the Third Proportional to 3,947,652,564 and 8,670,051,552

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Solution

The third proportional to 3,947,652,564 and 8,670,051,552 is: 19,041,643,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,652,564 : 8,670,051,552 = 8,670,051,552 : x
  2. Step 2: Convert to fraction form
    3,947,652,564/8,670,051,552 = 8,670,051,552/x
  3. Step 3: Cross multiply
    3,947,652,564x = 8,670,051,552 × 8,670,051,552
  4. Step 4: Simplify right side
    3,947,652,564x = 75,169,793,914,337,607,680
  5. Step 5: Solve for x
    x = 75,169,793,914,337,607,680/3,947,652,564
  6. Step 6: Final answer
    x = 19,041,643,785.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.