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Finding the Third Proportional to 4,309,681.50 and 6,427,149.75

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Solution

The third proportional to 4,309,681.50 and 6,427,149.75 is: 9,584,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309,681.50 : 6,427,149.75 = 6,427,149.75 : x
  2. Step 2: Convert to fraction form
    4,309,681.50/6,427,149.75 = 6,427,149.75/x
  3. Step 3: Cross multiply
    4,309,681.50x = 6,427,149.75 × 6,427,149.75
  4. Step 4: Simplify right side
    4,309,681.50x = 41,308,253,908,925.06
  5. Step 5: Solve for x
    x = 41,308,253,908,925.06/4,309,681.50
  6. Step 6: Final answer
    x = 9,584,989.96

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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.