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Finding the Third Proportional to 10,348,864 and 22,509,777

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Solution

The third proportional to 10,348,864 and 22,509,777 is: 48,960,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,864 : 22,509,777 = 22,509,777 : x
  2. Step 2: Convert to fraction form
    10,348,864/22,509,777 = 22,509,777/x
  3. Step 3: Cross multiply
    10,348,864x = 22,509,777 × 22,509,777
  4. Step 4: Simplify right side
    10,348,864x = 506,690,060,589,729
  5. Step 5: Solve for x
    x = 506,690,060,589,729/10,348,864
  6. Step 6: Final answer
    x = 48,960,935.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.