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Finding the Third Proportional to 5,986,504.13 and 9,249,045.75

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Solution

The third proportional to 5,986,504.13 and 9,249,045.75 is: 14,289,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986,504.13 : 9,249,045.75 = 9,249,045.75 : x
  2. Step 2: Convert to fraction form
    5,986,504.13/9,249,045.75 = 9,249,045.75/x
  3. Step 3: Cross multiply
    5,986,504.13x = 9,249,045.75 × 9,249,045.75
  4. Step 4: Simplify right side
    5,986,504.13x = 85,544,847,285,593.06
  5. Step 5: Solve for x
    x = 85,544,847,285,593.06/5,986,504.13
  6. Step 6: Final answer
    x = 14,289,616.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.