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Finding the Third Proportional to 6,986,304 and 11,109,312

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Solution

The third proportional to 6,986,304 and 11,109,312 is: 17,665,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986,304 : 11,109,312 = 11,109,312 : x
  2. Step 2: Convert to fraction form
    6,986,304/11,109,312 = 11,109,312/x
  3. Step 3: Cross multiply
    6,986,304x = 11,109,312 × 11,109,312
  4. Step 4: Simplify right side
    6,986,304x = 123,416,813,113,344
  5. Step 5: Solve for x
    x = 123,416,813,113,344/6,986,304
  6. Step 6: Final answer
    x = 17,665,537.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.