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Finding the Third Proportional to 10,819,292 and 22,845,811

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Solution

The third proportional to 10,819,292 and 22,845,811 is: 48,240,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819,292 : 22,845,811 = 22,845,811 : x
  2. Step 2: Convert to fraction form
    10,819,292/22,845,811 = 22,845,811/x
  3. Step 3: Cross multiply
    10,819,292x = 22,845,811 × 22,845,811
  4. Step 4: Simplify right side
    10,819,292x = 521,931,080,247,721
  5. Step 5: Solve for x
    x = 521,931,080,247,721/10,819,292
  6. Step 6: Final answer
    x = 48,240,779.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.