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Finding the Third Proportional to 7,002,998 and 15,232,980

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Solution

The third proportional to 7,002,998 and 15,232,980 is: 33,134,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002,998 : 15,232,980 = 15,232,980 : x
  2. Step 2: Convert to fraction form
    7,002,998/15,232,980 = 15,232,980/x
  3. Step 3: Cross multiply
    7,002,998x = 15,232,980 × 15,232,980
  4. Step 4: Simplify right side
    7,002,998x = 232,043,679,680,400
  5. Step 5: Solve for x
    x = 232,043,679,680,400/7,002,998
  6. Step 6: Final answer
    x = 33,134,905.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.