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Finding the Third Proportional to 57,989,147,128 and 124,840,841,476

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Solution

The third proportional to 57,989,147,128 and 124,840,841,476 is: 268,761,250,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,989,147,128 : 124,840,841,476 = 124,840,841,476 : x
  2. Step 2: Convert to fraction form
    57,989,147,128/124,840,841,476 = 124,840,841,476/x
  3. Step 3: Cross multiply
    57,989,147,128x = 124,840,841,476 × 124,840,841,476
  4. Step 4: Simplify right side
    57,989,147,128x = 15,585,235,700,435,761,758,208
  5. Step 5: Solve for x
    x = 15,585,235,700,435,761,758,208/57,989,147,128
  6. Step 6: Final answer
    x = 268,761,250,549.77

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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.