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Finding the Third Proportional to 4,733,210 and 10,367,400

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Solution

The third proportional to 4,733,210 and 10,367,400 is: 22,708,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,210 : 10,367,400 = 10,367,400 : x
  2. Step 2: Convert to fraction form
    4,733,210/10,367,400 = 10,367,400/x
  3. Step 3: Cross multiply
    4,733,210x = 10,367,400 × 10,367,400
  4. Step 4: Simplify right side
    4,733,210x = 107,482,982,760,000
  5. Step 5: Solve for x
    x = 107,482,982,760,000/4,733,210
  6. Step 6: Final answer
    x = 22,708,264.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.