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Finding the Third Proportional to 5,986,512.56 and 9,249,058.41

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Solution

The third proportional to 5,986,512.56 and 9,249,058.41 is: 14,289,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986,512.56 : 9,249,058.41 = 9,249,058.41 : x
  2. Step 2: Convert to fraction form
    5,986,512.56/9,249,058.41 = 9,249,058.41/x
  3. Step 3: Cross multiply
    5,986,512.56x = 9,249,058.41 × 9,249,058.41
  4. Step 4: Simplify right side
    5,986,512.56x = 85,545,081,402,223.80
  5. Step 5: Solve for x
    x = 85,545,081,402,223.80/5,986,512.56
  6. Step 6: Final answer
    x = 14,289,635.33

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Why These Related Problems?

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