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Finding the Third Proportional to 270,680,561.16 and 580,209,247.13

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Solution

The third proportional to 270,680,561.16 and 580,209,247.13 is: 1,243,690,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,680,561.16 : 580,209,247.13 = 580,209,247.13 : x
  2. Step 2: Convert to fraction form
    270,680,561.16/580,209,247.13 = 580,209,247.13/x
  3. Step 3: Cross multiply
    270,680,561.16x = 580,209,247.13 × 580,209,247.13
  4. Step 4: Simplify right side
    270,680,561.16x = 336,642,770,449,359,296
  5. Step 5: Solve for x
    x = 336,642,770,449,359,296/270,680,561.16
  6. Step 6: Final answer
    x = 1,243,690,234.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.