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Finding the Third Proportional to 5,532,640,446.38 and 8,498,812,463.16

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Solution

The third proportional to 5,532,640,446.38 and 8,498,812,463.16 is: 13,055,215,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532,640,446.38 : 8,498,812,463.16 = 8,498,812,463.16 : x
  2. Step 2: Convert to fraction form
    5,532,640,446.38/8,498,812,463.16 = 8,498,812,463.16/x
  3. Step 3: Cross multiply
    5,532,640,446.38x = 8,498,812,463.16 × 8,498,812,463.16
  4. Step 4: Simplify right side
    5,532,640,446.38x = 72,229,813,283,899,162,624
  5. Step 5: Solve for x
    x = 72,229,813,283,899,162,624/5,532,640,446.38
  6. Step 6: Final answer
    x = 13,055,215,495.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.