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Finding the Third Proportional to 10,344,000 and 21,948,864

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Solution

The third proportional to 10,344,000 and 21,948,864 is: 46,573,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344,000 : 21,948,864 = 21,948,864 : x
  2. Step 2: Convert to fraction form
    10,344,000/21,948,864 = 21,948,864/x
  3. Step 3: Cross multiply
    10,344,000x = 21,948,864 × 21,948,864
  4. Step 4: Simplify right side
    10,344,000x = 481,752,630,890,496
  5. Step 5: Solve for x
    x = 481,752,630,890,496/10,344,000
  6. Step 6: Final answer
    x = 46,573,146.84

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