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Finding the Third Proportional to 7,487,103.38 and 10,699,214.06

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Solution

The third proportional to 7,487,103.38 and 10,699,214.06 is: 15,289,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,103.38 : 10,699,214.06 = 10,699,214.06 : x
  2. Step 2: Convert to fraction form
    7,487,103.38/10,699,214.06 = 10,699,214.06/x
  3. Step 3: Cross multiply
    7,487,103.38x = 10,699,214.06 × 10,699,214.06
  4. Step 4: Simplify right side
    7,487,103.38x = 114,473,181,555,197.75
  5. Step 5: Solve for x
    x = 114,473,181,555,197.75/7,487,103.38
  6. Step 6: Final answer
    x = 15,289,381.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.