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Finding the Third Proportional to 4,486,528 and 9,785,071

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Solution

The third proportional to 4,486,528 and 9,785,071 is: 21,341,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,528 : 9,785,071 = 9,785,071 : x
  2. Step 2: Convert to fraction form
    4,486,528/9,785,071 = 9,785,071/x
  3. Step 3: Cross multiply
    4,486,528x = 9,785,071 × 9,785,071
  4. Step 4: Simplify right side
    4,486,528x = 95,747,614,475,041
  5. Step 5: Solve for x
    x = 95,747,614,475,041/4,486,528
  6. Step 6: Final answer
    x = 21,341,138.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.