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Finding the Third Proportional to 5,852,089.13 and 12,567,031.88

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Solution

The third proportional to 5,852,089.13 and 12,567,031.88 is: 26,986,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852,089.13 : 12,567,031.88 = 12,567,031.88 : x
  2. Step 2: Convert to fraction form
    5,852,089.13/12,567,031.88 = 12,567,031.88/x
  3. Step 3: Cross multiply
    5,852,089.13x = 12,567,031.88 × 12,567,031.88
  4. Step 4: Simplify right side
    5,852,089.13x = 157,930,290,147,266
  5. Step 5: Solve for x
    x = 157,930,290,147,266/5,852,089.13
  6. Step 6: Final answer
    x = 26,986,993.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.