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Finding the Third Proportional to 3,757,897.69 and 8,047,235.81

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Solution

The third proportional to 3,757,897.69 and 8,047,235.81 is: 17,232,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757,897.69 : 8,047,235.81 = 8,047,235.81 : x
  2. Step 2: Convert to fraction form
    3,757,897.69/8,047,235.81 = 8,047,235.81/x
  3. Step 3: Cross multiply
    3,757,897.69x = 8,047,235.81 × 8,047,235.81
  4. Step 4: Simplify right side
    3,757,897.69x = 64,758,004,221,982.53
  5. Step 5: Solve for x
    x = 64,758,004,221,982.53/3,757,897.69
  6. Step 6: Final answer
    x = 17,232,508.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.