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Finding the Third Proportional to 6,142,149 and 9,634,342.50

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Solution

The third proportional to 6,142,149 and 9,634,342.50 is: 15,112,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142,149 : 9,634,342.50 = 9,634,342.50 : x
  2. Step 2: Convert to fraction form
    6,142,149/9,634,342.50 = 9,634,342.50/x
  3. Step 3: Cross multiply
    6,142,149x = 9,634,342.50 × 9,634,342.50
  4. Step 4: Simplify right side
    6,142,149x = 92,820,555,407,306.25
  5. Step 5: Solve for x
    x = 92,820,555,407,306.25/6,142,149
  6. Step 6: Final answer
    x = 15,112,065.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.