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Finding the Third Proportional to 5,678,964 and 12,321,180

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Solution

The third proportional to 5,678,964 and 12,321,180 is: 26,732,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,964 : 12,321,180 = 12,321,180 : x
  2. Step 2: Convert to fraction form
    5,678,964/12,321,180 = 12,321,180/x
  3. Step 3: Cross multiply
    5,678,964x = 12,321,180 × 12,321,180
  4. Step 4: Simplify right side
    5,678,964x = 151,811,476,592,400
  5. Step 5: Solve for x
    x = 151,811,476,592,400/5,678,964
  6. Step 6: Final answer
    x = 26,732,248.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.