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Finding the Third Proportional to 2,459,116,542 and 5,310,870,108

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Solution

The third proportional to 2,459,116,542 and 5,310,870,108 is: 11,469,705,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459,116,542 : 5,310,870,108 = 5,310,870,108 : x
  2. Step 2: Convert to fraction form
    2,459,116,542/5,310,870,108 = 5,310,870,108/x
  3. Step 3: Cross multiply
    2,459,116,542x = 5,310,870,108 × 5,310,870,108
  4. Step 4: Simplify right side
    2,459,116,542x = 28,205,341,304,047,931,392
  5. Step 5: Solve for x
    x = 28,205,341,304,047,931,392/2,459,116,542
  6. Step 6: Final answer
    x = 11,469,705,002.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.