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Finding the Third Proportional to 6,526,488.38 and 13,830,951.38

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Solution

The third proportional to 6,526,488.38 and 13,830,951.38 is: 29,310,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526,488.38 : 13,830,951.38 = 13,830,951.38 : x
  2. Step 2: Convert to fraction form
    6,526,488.38/13,830,951.38 = 13,830,951.38/x
  3. Step 3: Cross multiply
    6,526,488.38x = 13,830,951.38 × 13,830,951.38
  4. Step 4: Simplify right side
    6,526,488.38x = 191,295,215,937,614.38
  5. Step 5: Solve for x
    x = 191,295,215,937,614.38/6,526,488.38
  6. Step 6: Final answer
    x = 29,310,588.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.