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Finding the Third Proportional to 4,505,975.58 and 6,981,606.42

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Solution

The third proportional to 4,505,975.58 and 6,981,606.42 is: 10,817,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505,975.58 : 6,981,606.42 = 6,981,606.42 : x
  2. Step 2: Convert to fraction form
    4,505,975.58/6,981,606.42 = 6,981,606.42/x
  3. Step 3: Cross multiply
    4,505,975.58x = 6,981,606.42 × 6,981,606.42
  4. Step 4: Simplify right side
    4,505,975.58x = 48,742,828,229,966.24
  5. Step 5: Solve for x
    x = 48,742,828,229,966.24/4,505,975.58
  6. Step 6: Final answer
    x = 10,817,375.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.