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Finding the Third Proportional to 217,680,304 and 473,622,656

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Solution

The third proportional to 217,680,304 and 473,622,656 is: 1,030,494,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,680,304 : 473,622,656 = 473,622,656 : x
  2. Step 2: Convert to fraction form
    217,680,304/473,622,656 = 473,622,656/x
  3. Step 3: Cross multiply
    217,680,304x = 473,622,656 × 473,622,656
  4. Step 4: Simplify right side
    217,680,304x = 224,318,420,276,494,336
  5. Step 5: Solve for x
    x = 224,318,420,276,494,336/217,680,304
  6. Step 6: Final answer
    x = 1,030,494,795.14

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Why These Related Problems?

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