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Finding the Third Proportional to 124,466,440,002 and 267,810,513,970

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Solution

The third proportional to 124,466,440,002 and 267,810,513,970 is: 576,239,437,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,466,440,002 : 267,810,513,970 = 267,810,513,970 : x
  2. Step 2: Convert to fraction form
    124,466,440,002/267,810,513,970 = 267,810,513,970/x
  3. Step 3: Cross multiply
    124,466,440,002x = 267,810,513,970 × 267,810,513,970
  4. Step 4: Simplify right side
    124,466,440,002x = 71,722,471,392,875,563,188,224
  5. Step 5: Solve for x
    x = 71,722,471,392,875,563,188,224/124,466,440,002
  6. Step 6: Final answer
    x = 576,239,437,648.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.