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Finding the Third Proportional to 4,464,472 and 9,690,019

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Solution

The third proportional to 4,464,472 and 9,690,019 is: 21,031,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,472 : 9,690,019 = 9,690,019 : x
  2. Step 2: Convert to fraction form
    4,464,472/9,690,019 = 9,690,019/x
  3. Step 3: Cross multiply
    4,464,472x = 9,690,019 × 9,690,019
  4. Step 4: Simplify right side
    4,464,472x = 93,896,468,220,361
  5. Step 5: Solve for x
    x = 93,896,468,220,361/4,464,472
  6. Step 6: Final answer
    x = 21,031,931.26

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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.