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Finding the Third Proportional to 10,611,872 and 22,737,904

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Solution

The third proportional to 10,611,872 and 22,737,904 is: 48,720,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611,872 : 22,737,904 = 22,737,904 : x
  2. Step 2: Convert to fraction form
    10,611,872/22,737,904 = 22,737,904/x
  3. Step 3: Cross multiply
    10,611,872x = 22,737,904 × 22,737,904
  4. Step 4: Simplify right side
    10,611,872x = 517,012,278,313,216
  5. Step 5: Solve for x
    x = 517,012,278,313,216/10,611,872
  6. Step 6: Final answer
    x = 48,720,176.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.