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Finding the Third Proportional to 4,486,271 and 9,729,730

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Solution

The third proportional to 4,486,271 and 9,729,730 is: 21,101,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,271 : 9,729,730 = 9,729,730 : x
  2. Step 2: Convert to fraction form
    4,486,271/9,729,730 = 9,729,730/x
  3. Step 3: Cross multiply
    4,486,271x = 9,729,730 × 9,729,730
  4. Step 4: Simplify right side
    4,486,271x = 94,667,645,872,900
  5. Step 5: Solve for x
    x = 94,667,645,872,900/4,486,271
  6. Step 6: Final answer
    x = 21,101,633.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.