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Finding the Third Proportional to 57,714,919,113 and 124,115,735,097

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Solution

The third proportional to 57,714,919,113 and 124,115,735,097 is: 266,910,461,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714,919,113 : 124,115,735,097 = 124,115,735,097 : x
  2. Step 2: Convert to fraction form
    57,714,919,113/124,115,735,097 = 124,115,735,097/x
  3. Step 3: Cross multiply
    57,714,919,113x = 124,115,735,097 × 124,115,735,097
  4. Step 4: Simplify right side
    57,714,919,113x = 15,404,715,698,668,676,579,328
  5. Step 5: Solve for x
    x = 15,404,715,698,668,676,579,328/57,714,919,113
  6. Step 6: Final answer
    x = 266,910,461,548.21

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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.