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Finding the Third Proportional to 66,281,367 and 144,035,775

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Solution

The third proportional to 66,281,367 and 144,035,775 is: 313,003,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,281,367 : 144,035,775 = 144,035,775 : x
  2. Step 2: Convert to fraction form
    66,281,367/144,035,775 = 144,035,775/x
  3. Step 3: Cross multiply
    66,281,367x = 144,035,775 × 144,035,775
  4. Step 4: Simplify right side
    66,281,367x = 20,746,304,479,850,624
  5. Step 5: Solve for x
    x = 20,746,304,479,850,624/66,281,367
  6. Step 6: Final answer
    x = 313,003,569.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.