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Finding the Third Proportional to 27,687,778,515,796 and 40,702,262,681,446

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Solution

The third proportional to 27,687,778,515,796 and 40,702,262,681,446 is: 59,834,131,743,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687,778,515,796 : 40,702,262,681,446 = 40,702,262,681,446 : x
  2. Step 2: Convert to fraction form
    27,687,778,515,796/40,702,262,681,446 = 40,702,262,681,446/x
  3. Step 3: Cross multiply
    27,687,778,515,796x = 40,702,262,681,446 × 40,702,262,681,446
  4. Step 4: Simplify right side
    27,687,778,515,796x = 1,656,674,187,389,431,793,447,862,272
  5. Step 5: Solve for x
    x = 1,656,674,187,389,431,793,447,862,272/27,687,778,515,796
  6. Step 6: Final answer
    x = 59,834,131,743,154.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.