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Finding the Third Proportional to 57,714,919,110 and 124,115,735,085

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Solution

The third proportional to 57,714,919,110 and 124,115,735,085 is: 266,910,461,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714,919,110 : 124,115,735,085 = 124,115,735,085 : x
  2. Step 2: Convert to fraction form
    57,714,919,110/124,115,735,085 = 124,115,735,085/x
  3. Step 3: Cross multiply
    57,714,919,110x = 124,115,735,085 × 124,115,735,085
  4. Step 4: Simplify right side
    57,714,919,110x = 15,404,715,695,689,900,752,896
  5. Step 5: Solve for x
    x = 15,404,715,695,689,900,752,896/57,714,919,110
  6. Step 6: Final answer
    x = 266,910,461,510.48

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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.