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Finding the Third Proportional to 2,270,486,792 and 4,895,372,560

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Solution

The third proportional to 2,270,486,792 and 4,895,372,560 is: 10,554,861,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,486,792 : 4,895,372,560 = 4,895,372,560 : x
  2. Step 2: Convert to fraction form
    2,270,486,792/4,895,372,560 = 4,895,372,560/x
  3. Step 3: Cross multiply
    2,270,486,792x = 4,895,372,560 × 4,895,372,560
  4. Step 4: Simplify right side
    2,270,486,792x = 23,964,672,501,200,953,344
  5. Step 5: Solve for x
    x = 23,964,672,501,200,953,344/2,270,486,792
  6. Step 6: Final answer
    x = 10,554,861,004.10

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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.