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Finding the Third Proportional to 6,497,580 and 9,524,730

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Solution

The third proportional to 6,497,580 and 9,524,730 is: 13,962,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,580 : 9,524,730 = 9,524,730 : x
  2. Step 2: Convert to fraction form
    6,497,580/9,524,730 = 9,524,730/x
  3. Step 3: Cross multiply
    6,497,580x = 9,524,730 × 9,524,730
  4. Step 4: Simplify right side
    6,497,580x = 90,720,481,572,900
  5. Step 5: Solve for x
    x = 90,720,481,572,900/6,497,580
  6. Step 6: Final answer
    x = 13,962,195.40

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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.