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Finding the Third Proportional to 6,181,722 and 9,087,405.47

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Solution

The third proportional to 6,181,722 and 9,087,405.47 is: 13,358,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181,722 : 9,087,405.47 = 9,087,405.47 : x
  2. Step 2: Convert to fraction form
    6,181,722/9,087,405.47 = 9,087,405.47/x
  3. Step 3: Cross multiply
    6,181,722x = 9,087,405.47 × 9,087,405.47
  4. Step 4: Simplify right side
    6,181,722x = 82,580,938,153,467.41
  5. Step 5: Solve for x
    x = 82,580,938,153,467.41/6,181,722
  6. Step 6: Final answer
    x = 13,358,889.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.