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Finding the Third Proportional to 217,680,288 and 473,622,624

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Solution

The third proportional to 217,680,288 and 473,622,624 is: 1,030,494,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,680,288 : 473,622,624 = 473,622,624 : x
  2. Step 2: Convert to fraction form
    217,680,288/473,622,624 = 473,622,624/x
  3. Step 3: Cross multiply
    217,680,288x = 473,622,624 × 473,622,624
  4. Step 4: Simplify right side
    217,680,288x = 224,318,389,964,645,376
  5. Step 5: Solve for x
    x = 224,318,389,964,645,376/217,680,288
  6. Step 6: Final answer
    x = 1,030,494,731.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.