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Finding the Third Proportional to 51,717,457.50 and 77,127,770.25

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Solution

The third proportional to 51,717,457.50 and 77,127,770.25 is: 115,022,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,717,457.50 : 77,127,770.25 = 77,127,770.25 : x
  2. Step 2: Convert to fraction form
    51,717,457.50/77,127,770.25 = 77,127,770.25/x
  3. Step 3: Cross multiply
    51,717,457.50x = 77,127,770.25 × 77,127,770.25
  4. Step 4: Simplify right side
    51,717,457.50x = 5,948,692,943,736,785
  5. Step 5: Solve for x
    x = 5,948,692,943,736,785/51,717,457.50
  6. Step 6: Final answer
    x = 115,022,919.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.