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Finding the Third Proportional to 2,785,969.13 and 6,035,653.13

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Solution

The third proportional to 2,785,969.13 and 6,035,653.13 is: 13,075,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785,969.13 : 6,035,653.13 = 6,035,653.13 : x
  2. Step 2: Convert to fraction form
    2,785,969.13/6,035,653.13 = 6,035,653.13/x
  3. Step 3: Cross multiply
    2,785,969.13x = 6,035,653.13 × 6,035,653.13
  4. Step 4: Simplify right side
    2,785,969.13x = 36,429,108,645,322.27
  5. Step 5: Solve for x
    x = 36,429,108,645,322.27/2,785,969.13
  6. Step 6: Final answer
    x = 13,075,919.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.