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Finding the Third Proportional to 6,803,578.13 and 10,534,465.13

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Solution

The third proportional to 6,803,578.13 and 10,534,465.13 is: 16,311,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803,578.13 : 10,534,465.13 = 10,534,465.13 : x
  2. Step 2: Convert to fraction form
    6,803,578.13/10,534,465.13 = 10,534,465.13/x
  3. Step 3: Cross multiply
    6,803,578.13x = 10,534,465.13 × 10,534,465.13
  4. Step 4: Simplify right side
    6,803,578.13x = 110,974,955,469,841.27
  5. Step 5: Solve for x
    x = 110,974,955,469,841.27/6,803,578.13
  6. Step 6: Final answer
    x = 16,311,263.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.