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Finding the Third Proportional to 6,947,871 and 15,309,262

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Solution

The third proportional to 6,947,871 and 15,309,262 is: 33,733,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,871 : 15,309,262 = 15,309,262 : x
  2. Step 2: Convert to fraction form
    6,947,871/15,309,262 = 15,309,262/x
  3. Step 3: Cross multiply
    6,947,871x = 15,309,262 × 15,309,262
  4. Step 4: Simplify right side
    6,947,871x = 234,373,502,984,644
  5. Step 5: Solve for x
    x = 234,373,502,984,644/6,947,871
  6. Step 6: Final answer
    x = 33,733,139.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.