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Finding the Third Proportional to 51,716,173.50 and 77,125,785.75

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Solution

The third proportional to 51,716,173.50 and 77,125,785.75 is: 115,019,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,716,173.50 : 77,125,785.75 = 77,125,785.75 : x
  2. Step 2: Convert to fraction form
    51,716,173.50/77,125,785.75 = 77,125,785.75/x
  3. Step 3: Cross multiply
    51,716,173.50x = 77,125,785.75 × 77,125,785.75
  4. Step 4: Simplify right side
    51,716,173.50x = 5,948,386,827,554,903
  5. Step 5: Solve for x
    x = 5,948,386,827,554,903/51,716,173.50
  6. Step 6: Final answer
    x = 115,019,855.98

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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.