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Finding the Third Proportional to 10,228,045 and 22,050,169

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Solution

The third proportional to 10,228,045 and 22,050,169 is: 47,536,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228,045 : 22,050,169 = 22,050,169 : x
  2. Step 2: Convert to fraction form
    10,228,045/22,050,169 = 22,050,169/x
  3. Step 3: Cross multiply
    10,228,045x = 22,050,169 × 22,050,169
  4. Step 4: Simplify right side
    10,228,045x = 486,209,952,928,561
  5. Step 5: Solve for x
    x = 486,209,952,928,561/10,228,045
  6. Step 6: Final answer
    x = 47,536,939.16

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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.