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Finding the Third Proportional to 7,182,000 and 15,372,828

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Solution

The third proportional to 7,182,000 and 15,372,828 is: 32,905,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182,000 : 15,372,828 = 15,372,828 : x
  2. Step 2: Convert to fraction form
    7,182,000/15,372,828 = 15,372,828/x
  3. Step 3: Cross multiply
    7,182,000x = 15,372,828 × 15,372,828
  4. Step 4: Simplify right side
    7,182,000x = 236,323,840,717,584
  5. Step 5: Solve for x
    x = 236,323,840,717,584/7,182,000
  6. Step 6: Final answer
    x = 32,905,018.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.