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Finding the Third Proportional to 10,769,300 and 15,984,852

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Solution

The third proportional to 10,769,300 and 15,984,852 is: 23,726,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769,300 : 15,984,852 = 15,984,852 : x
  2. Step 2: Convert to fraction form
    10,769,300/15,984,852 = 15,984,852/x
  3. Step 3: Cross multiply
    10,769,300x = 15,984,852 × 15,984,852
  4. Step 4: Simplify right side
    10,769,300x = 255,515,493,461,904
  5. Step 5: Solve for x
    x = 255,515,493,461,904/10,769,300
  6. Step 6: Final answer
    x = 23,726,286.15

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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.