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Finding the Third Proportional to 10,799,982 and 22,813,992

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Solution

The third proportional to 10,799,982 and 22,813,992 is: 48,192,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799,982 : 22,813,992 = 22,813,992 : x
  2. Step 2: Convert to fraction form
    10,799,982/22,813,992 = 22,813,992/x
  3. Step 3: Cross multiply
    10,799,982x = 22,813,992 × 22,813,992
  4. Step 4: Simplify right side
    10,799,982x = 520,478,230,976,064
  5. Step 5: Solve for x
    x = 520,478,230,976,064/10,799,982
  6. Step 6: Final answer
    x = 48,192,509.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.