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Finding the Third Proportional to 424,246,655 and 913,331,278

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Solution

The third proportional to 424,246,655 and 913,331,278 is: 1,966,247,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,246,655 : 913,331,278 = 913,331,278 : x
  2. Step 2: Convert to fraction form
    424,246,655/913,331,278 = 913,331,278/x
  3. Step 3: Cross multiply
    424,246,655x = 913,331,278 × 913,331,278
  4. Step 4: Simplify right side
    424,246,655x = 834,174,023,373,113,344
  5. Step 5: Solve for x
    x = 834,174,023,373,113,344/424,246,655
  6. Step 6: Final answer
    x = 1,966,247,732.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.