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Finding the Third Proportional to 6,857,934.19 and 9,404,101.69

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Solution

The third proportional to 6,857,934.19 and 9,404,101.69 is: 12,895,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,934.19 : 9,404,101.69 = 9,404,101.69 : x
  2. Step 2: Convert to fraction form
    6,857,934.19/9,404,101.69 = 9,404,101.69/x
  3. Step 3: Cross multiply
    6,857,934.19x = 9,404,101.69 × 9,404,101.69
  4. Step 4: Simplify right side
    6,857,934.19x = 88,437,128,548,840.34
  5. Step 5: Solve for x
    x = 88,437,128,548,840.34/6,857,934.19
  6. Step 6: Final answer
    x = 12,895,593.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.