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Finding the Third Proportional to 10,535,973.75 and 22,986,291.38

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Solution

The third proportional to 10,535,973.75 and 22,986,291.38 is: 50,149,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535,973.75 : 22,986,291.38 = 22,986,291.38 : x
  2. Step 2: Convert to fraction form
    10,535,973.75/22,986,291.38 = 22,986,291.38/x
  3. Step 3: Cross multiply
    10,535,973.75x = 22,986,291.38 × 22,986,291.38
  4. Step 4: Simplify right side
    10,535,973.75x = 528,369,591,176,399.38
  5. Step 5: Solve for x
    x = 528,369,591,176,399.38/10,535,973.75
  6. Step 6: Final answer
    x = 50,149,099.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.