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Finding the Third Proportional to 10,287,204 and 22,122,798

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Solution

The third proportional to 10,287,204 and 22,122,798 is: 47,575,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287,204 : 22,122,798 = 22,122,798 : x
  2. Step 2: Convert to fraction form
    10,287,204/22,122,798 = 22,122,798/x
  3. Step 3: Cross multiply
    10,287,204x = 22,122,798 × 22,122,798
  4. Step 4: Simplify right side
    10,287,204x = 489,418,191,348,804
  5. Step 5: Solve for x
    x = 489,418,191,348,804/10,287,204
  6. Step 6: Final answer
    x = 47,575,433.65

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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.