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Finding the Third Proportional to 10,835,768.25 and 15,894,441

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Solution

The third proportional to 10,835,768.25 and 15,894,441 is: 23,314,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835,768.25 : 15,894,441 = 15,894,441 : x
  2. Step 2: Convert to fraction form
    10,835,768.25/15,894,441 = 15,894,441/x
  3. Step 3: Cross multiply
    10,835,768.25x = 15,894,441 × 15,894,441
  4. Step 4: Simplify right side
    10,835,768.25x = 252,633,254,702,481
  5. Step 5: Solve for x
    x = 252,633,254,702,481/10,835,768.25
  6. Step 6: Final answer
    x = 23,314,752.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.