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Finding the Third Proportional to 8,369,482 and 17,743,472

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Solution

The third proportional to 8,369,482 and 17,743,472 is: 37,616,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,482 : 17,743,472 = 17,743,472 : x
  2. Step 2: Convert to fraction form
    8,369,482/17,743,472 = 17,743,472/x
  3. Step 3: Cross multiply
    8,369,482x = 17,743,472 × 17,743,472
  4. Step 4: Simplify right side
    8,369,482x = 314,830,798,614,784
  5. Step 5: Solve for x
    x = 314,830,798,614,784/8,369,482
  6. Step 6: Final answer
    x = 37,616,521.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.