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Finding the Third Proportional to 3,450,618 and 7,258,198.50

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Solution

The third proportional to 3,450,618 and 7,258,198.50 is: 15,267,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450,618 : 7,258,198.50 = 7,258,198.50 : x
  2. Step 2: Convert to fraction form
    3,450,618/7,258,198.50 = 7,258,198.50/x
  3. Step 3: Cross multiply
    3,450,618x = 7,258,198.50 × 7,258,198.50
  4. Step 4: Simplify right side
    3,450,618x = 52,681,445,465,402.25
  5. Step 5: Solve for x
    x = 52,681,445,465,402.25/3,450,618
  6. Step 6: Final answer
    x = 15,267,249.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.