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Finding the Third Proportional to 10,242,640 and 22,073,200

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Solution

The third proportional to 10,242,640 and 22,073,200 is: 47,568,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242,640 : 22,073,200 = 22,073,200 : x
  2. Step 2: Convert to fraction form
    10,242,640/22,073,200 = 22,073,200/x
  3. Step 3: Cross multiply
    10,242,640x = 22,073,200 × 22,073,200
  4. Step 4: Simplify right side
    10,242,640x = 487,226,158,240,000
  5. Step 5: Solve for x
    x = 487,226,158,240,000/10,242,640
  6. Step 6: Final answer
    x = 47,568,415.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.