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Finding the Third Proportional to 8,313,523 and 17,864,726

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Solution

The third proportional to 8,313,523 and 17,864,726 is: 38,389,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313,523 : 17,864,726 = 17,864,726 : x
  2. Step 2: Convert to fraction form
    8,313,523/17,864,726 = 17,864,726/x
  3. Step 3: Cross multiply
    8,313,523x = 17,864,726 × 17,864,726
  4. Step 4: Simplify right side
    8,313,523x = 319,148,435,055,076
  5. Step 5: Solve for x
    x = 319,148,435,055,076/8,313,523
  6. Step 6: Final answer
    x = 38,389,072.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.