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Finding the Third Proportional to 54,935,069,689 and 117,818,695,879

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Solution

The third proportional to 54,935,069,689 and 117,818,695,879 is: 252,684,581,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,935,069,689 : 117,818,695,879 = 117,818,695,879 : x
  2. Step 2: Convert to fraction form
    54,935,069,689/117,818,695,879 = 117,818,695,879/x
  3. Step 3: Cross multiply
    54,935,069,689x = 117,818,695,879 × 117,818,695,879
  4. Step 4: Simplify right side
    54,935,069,689x = 13,881,245,098,628,291,231,744
  5. Step 5: Solve for x
    x = 13,881,245,098,628,291,231,744/54,935,069,689
  6. Step 6: Final answer
    x = 252,684,581,583.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.