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Finding the Third Proportional to 17,577,686 and 38,506,720

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Solution

The third proportional to 17,577,686 and 38,506,720 is: 84,355,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577,686 : 38,506,720 = 38,506,720 : x
  2. Step 2: Convert to fraction form
    17,577,686/38,506,720 = 38,506,720/x
  3. Step 3: Cross multiply
    17,577,686x = 38,506,720 × 38,506,720
  4. Step 4: Simplify right side
    17,577,686x = 1,482,767,485,158,400
  5. Step 5: Solve for x
    x = 1,482,767,485,158,400/17,577,686
  6. Step 6: Final answer
    x = 84,355,101.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.