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Finding the Third Proportional to 7,031,713.78 and 10,566,293.06

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Solution

The third proportional to 7,031,713.78 and 10,566,293.06 is: 15,877,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031,713.78 : 10,566,293.06 = 10,566,293.06 : x
  2. Step 2: Convert to fraction form
    7,031,713.78/10,566,293.06 = 10,566,293.06/x
  3. Step 3: Cross multiply
    7,031,713.78x = 10,566,293.06 × 10,566,293.06
  4. Step 4: Simplify right side
    7,031,713.78x = 111,646,549,082,635.62
  5. Step 5: Solve for x
    x = 111,646,549,082,635.62/7,031,713.78
  6. Step 6: Final answer
    x = 15,877,573.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.