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Finding the Third Proportional to 4,729,633,730 and 6,651,913,404

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Solution

The third proportional to 4,729,633,730 and 6,651,913,404 is: 9,355,471,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,633,730 : 6,651,913,404 = 6,651,913,404 : x
  2. Step 2: Convert to fraction form
    4,729,633,730/6,651,913,404 = 6,651,913,404/x
  3. Step 3: Cross multiply
    4,729,633,730x = 6,651,913,404 × 6,651,913,404
  4. Step 4: Simplify right side
    4,729,633,730x = 44,247,951,934,314,864,640
  5. Step 5: Solve for x
    x = 44,247,951,934,314,864,640/4,729,633,730
  6. Step 6: Final answer
    x = 9,355,471,154.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.