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Finding the Third Proportional to 174,506,568 and 270,578,820

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Solution

The third proportional to 174,506,568 and 270,578,820 is: 419,542,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,506,568 : 270,578,820 = 270,578,820 : x
  2. Step 2: Convert to fraction form
    174,506,568/270,578,820 = 270,578,820/x
  3. Step 3: Cross multiply
    174,506,568x = 270,578,820 × 270,578,820
  4. Step 4: Simplify right side
    174,506,568x = 73,212,897,832,592,400
  5. Step 5: Solve for x
    x = 73,212,897,832,592,400/174,506,568
  6. Step 6: Final answer
    x = 419,542,362.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.