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Finding the Third Proportional to 27,808,199 and 40,716,806

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Solution

The third proportional to 27,808,199 and 40,716,806 is: 59,617,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808,199 : 40,716,806 = 40,716,806 : x
  2. Step 2: Convert to fraction form
    27,808,199/40,716,806 = 40,716,806/x
  3. Step 3: Cross multiply
    27,808,199x = 40,716,806 × 40,716,806
  4. Step 4: Simplify right side
    27,808,199x = 1,657,858,290,841,636
  5. Step 5: Solve for x
    x = 1,657,858,290,841,636/27,808,199
  6. Step 6: Final answer
    x = 59,617,607.41

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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.