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Finding the Third Proportional to 6,181,805 and 9,456,293.50

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Solution

The third proportional to 6,181,805 and 9,456,293.50 is: 14,465,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181,805 : 9,456,293.50 = 9,456,293.50 : x
  2. Step 2: Convert to fraction form
    6,181,805/9,456,293.50 = 9,456,293.50/x
  3. Step 3: Cross multiply
    6,181,805x = 9,456,293.50 × 9,456,293.50
  4. Step 4: Simplify right side
    6,181,805x = 89,421,486,758,142.25
  5. Step 5: Solve for x
    x = 89,421,486,758,142.25/6,181,805
  6. Step 6: Final answer
    x = 14,465,271.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.