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Finding the Third Proportional to 69,455,294 and 150,867,482

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Solution

The third proportional to 69,455,294 and 150,867,482 is: 327,707,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,455,294 : 150,867,482 = 150,867,482 : x
  2. Step 2: Convert to fraction form
    69,455,294/150,867,482 = 150,867,482/x
  3. Step 3: Cross multiply
    69,455,294x = 150,867,482 × 150,867,482
  4. Step 4: Simplify right side
    69,455,294x = 22,760,997,125,020,324
  5. Step 5: Solve for x
    x = 22,760,997,125,020,324/69,455,294
  6. Step 6: Final answer
    x = 327,707,159.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.