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Finding the Third Proportional to 8,020,209 and 17,318,988

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Solution

The third proportional to 8,020,209 and 17,318,988 is: 37,398,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,209 : 17,318,988 = 17,318,988 : x
  2. Step 2: Convert to fraction form
    8,020,209/17,318,988 = 17,318,988/x
  3. Step 3: Cross multiply
    8,020,209x = 17,318,988 × 17,318,988
  4. Step 4: Simplify right side
    8,020,209x = 299,947,345,344,144
  5. Step 5: Solve for x
    x = 299,947,345,344,144/8,020,209
  6. Step 6: Final answer
    x = 37,398,943.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.