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Finding the Third Proportional to 68,950,541,860.03 and 97,055,246,012.49

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Solution

The third proportional to 68,950,541,860.03 and 97,055,246,012.49 is: 136,615,616,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,950,541,860.03 : 97,055,246,012.49 = 97,055,246,012.49 : x
  2. Step 2: Convert to fraction form
    68,950,541,860.03/97,055,246,012.49 = 97,055,246,012.49/x
  3. Step 3: Cross multiply
    68,950,541,860.03x = 97,055,246,012.49 × 97,055,246,012.49
  4. Step 4: Simplify right side
    68,950,541,860.03x = 9,419,720,778,544,178,003,968
  5. Step 5: Solve for x
    x = 9,419,720,778,544,178,003,968/68,950,541,860.03
  6. Step 6: Final answer
    x = 136,615,616,417.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.