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Finding the Third Proportional to 6,859,819.13 and 10,032,103.13

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Solution

The third proportional to 6,859,819.13 and 10,032,103.13 is: 14,671,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859,819.13 : 10,032,103.13 = 10,032,103.13 : x
  2. Step 2: Convert to fraction form
    6,859,819.13/10,032,103.13 = 10,032,103.13/x
  3. Step 3: Cross multiply
    6,859,819.13x = 10,032,103.13 × 10,032,103.13
  4. Step 4: Simplify right side
    6,859,819.13x = 100,643,093,110,634.77
  5. Step 5: Solve for x
    x = 100,643,093,110,634.77/6,859,819.13
  6. Step 6: Final answer
    x = 14,671,391.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.