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Finding the Third Proportional to 10,692,309 and 15,448,543

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Solution

The third proportional to 10,692,309 and 15,448,543 is: 22,320,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692,309 : 15,448,543 = 15,448,543 : x
  2. Step 2: Convert to fraction form
    10,692,309/15,448,543 = 15,448,543/x
  3. Step 3: Cross multiply
    10,692,309x = 15,448,543 × 15,448,543
  4. Step 4: Simplify right side
    10,692,309x = 238,657,480,822,849
  5. Step 5: Solve for x
    x = 238,657,480,822,849/10,692,309
  6. Step 6: Final answer
    x = 22,320,481.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.