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Finding the Third Proportional to 54,935,069,685 and 117,818,695,870.50

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Solution

The third proportional to 54,935,069,685 and 117,818,695,870.50 is: 252,684,581,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,935,069,685 : 117,818,695,870.50 = 117,818,695,870.50 : x
  2. Step 2: Convert to fraction form
    54,935,069,685/117,818,695,870.50 = 117,818,695,870.50/x
  3. Step 3: Cross multiply
    54,935,069,685x = 117,818,695,870.50 × 117,818,695,870.50
  4. Step 4: Simplify right side
    54,935,069,685x = 13,881,245,096,625,374,756,864
  5. Step 5: Solve for x
    x = 13,881,245,096,625,374,756,864/54,935,069,685
  6. Step 6: Final answer
    x = 252,684,581,565.49

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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.