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Finding the Third Proportional to 27,808,205 and 40,716,816

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Solution

The third proportional to 27,808,205 and 40,716,816 is: 59,617,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808,205 : 40,716,816 = 40,716,816 : x
  2. Step 2: Convert to fraction form
    27,808,205/40,716,816 = 40,716,816/x
  3. Step 3: Cross multiply
    27,808,205x = 40,716,816 × 40,716,816
  4. Step 4: Simplify right side
    27,808,205x = 1,657,859,105,177,856
  5. Step 5: Solve for x
    x = 1,657,859,105,177,856/27,808,205
  6. Step 6: Final answer
    x = 59,617,623.83

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Why These Related Problems?

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