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Finding the Third Proportional to 54,935,069,684 and 117,818,695,866

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Solution

The third proportional to 54,935,069,684 and 117,818,695,866 is: 252,684,581,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,935,069,684 : 117,818,695,866 = 117,818,695,866 : x
  2. Step 2: Convert to fraction form
    54,935,069,684/117,818,695,866 = 117,818,695,866/x
  3. Step 3: Cross multiply
    54,935,069,684x = 117,818,695,866 × 117,818,695,866
  4. Step 4: Simplify right side
    54,935,069,684x = 13,881,245,095,565,006,471,168
  5. Step 5: Solve for x
    x = 13,881,245,095,565,006,471,168/54,935,069,684
  6. Step 6: Final answer
    x = 252,684,581,550.79

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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.