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Finding the Third Proportional to 10,287,189 and 22,122,774

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Solution

The third proportional to 10,287,189 and 22,122,774 is: 47,575,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287,189 : 22,122,774 = 22,122,774 : x
  2. Step 2: Convert to fraction form
    10,287,189/22,122,774 = 22,122,774/x
  3. Step 3: Cross multiply
    10,287,189x = 22,122,774 × 22,122,774
  4. Step 4: Simplify right side
    10,287,189x = 489,417,129,455,076
  5. Step 5: Solve for x
    x = 489,417,129,455,076/10,287,189
  6. Step 6: Final answer
    x = 47,575,399.80

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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.