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Finding the Third Proportional to 7,873,398.70 and 11,258,973.42

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Solution

The third proportional to 7,873,398.70 and 11,258,973.42 is: 16,100,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873,398.70 : 11,258,973.42 = 11,258,973.42 : x
  2. Step 2: Convert to fraction form
    7,873,398.70/11,258,973.42 = 11,258,973.42/x
  3. Step 3: Cross multiply
    7,873,398.70x = 11,258,973.42 × 11,258,973.42
  4. Step 4: Simplify right side
    7,873,398.70x = 126,764,482,514,487.64
  5. Step 5: Solve for x
    x = 126,764,482,514,487.64/7,873,398.70
  6. Step 6: Final answer
    x = 16,100,350.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.