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Finding the Third Proportional to 10,769,292 and 15,984,840

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Solution

The third proportional to 10,769,292 and 15,984,840 is: 23,726,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769,292 : 15,984,840 = 15,984,840 : x
  2. Step 2: Convert to fraction form
    10,769,292/15,984,840 = 15,984,840/x
  3. Step 3: Cross multiply
    10,769,292x = 15,984,840 × 15,984,840
  4. Step 4: Simplify right side
    10,769,292x = 255,515,109,825,600
  5. Step 5: Solve for x
    x = 255,515,109,825,600/10,769,292
  6. Step 6: Final answer
    x = 23,726,268.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.