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Finding the Third Proportional to 10,457,806 and 22,652,230

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Solution

The third proportional to 10,457,806 and 22,652,230 is: 49,066,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457,806 : 22,652,230 = 22,652,230 : x
  2. Step 2: Convert to fraction form
    10,457,806/22,652,230 = 22,652,230/x
  3. Step 3: Cross multiply
    10,457,806x = 22,652,230 × 22,652,230
  4. Step 4: Simplify right side
    10,457,806x = 513,123,523,972,900
  5. Step 5: Solve for x
    x = 513,123,523,972,900/10,457,806
  6. Step 6: Final answer
    x = 49,066,077.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.