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Finding the Third Proportional to 2,993,258.81 and 6,785,623.13

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Solution

The third proportional to 2,993,258.81 and 6,785,623.13 is: 15,382,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993,258.81 : 6,785,623.13 = 6,785,623.13 : x
  2. Step 2: Convert to fraction form
    2,993,258.81/6,785,623.13 = 6,785,623.13/x
  3. Step 3: Cross multiply
    2,993,258.81x = 6,785,623.13 × 6,785,623.13
  4. Step 4: Simplify right side
    2,993,258.81x = 46,044,681,194,534.77
  5. Step 5: Solve for x
    x = 46,044,681,194,534.77/2,993,258.81
  6. Step 6: Final answer
    x = 15,382,793.16

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.