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Finding the Third Proportional to 9,784,764 and 14,389,542

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Solution

The third proportional to 9,784,764 and 14,389,542 is: 21,161,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,764 : 14,389,542 = 14,389,542 : x
  2. Step 2: Convert to fraction form
    9,784,764/14,389,542 = 14,389,542/x
  3. Step 3: Cross multiply
    9,784,764x = 14,389,542 × 14,389,542
  4. Step 4: Simplify right side
    9,784,764x = 207,058,918,969,764
  5. Step 5: Solve for x
    x = 207,058,918,969,764/9,784,764
  6. Step 6: Final answer
    x = 21,161,360.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.