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Finding the Third Proportional to 22,864,909 and 49,045,310

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Solution

The third proportional to 22,864,909 and 49,045,310 is: 105,202,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864,909 : 49,045,310 = 49,045,310 : x
  2. Step 2: Convert to fraction form
    22,864,909/49,045,310 = 49,045,310/x
  3. Step 3: Cross multiply
    22,864,909x = 49,045,310 × 49,045,310
  4. Step 4: Simplify right side
    22,864,909x = 2,405,442,432,996,100
  5. Step 5: Solve for x
    x = 2,405,442,432,996,100/22,864,909
  6. Step 6: Final answer
    x = 105,202,361.97

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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.