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Finding the Third Proportional to 10,787,210 and 23,175,280

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Solution

The third proportional to 10,787,210 and 23,175,280 is: 49,789,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787,210 : 23,175,280 = 23,175,280 : x
  2. Step 2: Convert to fraction form
    10,787,210/23,175,280 = 23,175,280/x
  3. Step 3: Cross multiply
    10,787,210x = 23,175,280 × 23,175,280
  4. Step 4: Simplify right side
    10,787,210x = 537,093,603,078,400
  5. Step 5: Solve for x
    x = 537,093,603,078,400/10,787,210
  6. Step 6: Final answer
    x = 49,789,853.27

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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.