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Finding the Third Proportional to 640,841,350 and 1,315,655,356

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Solution

The third proportional to 640,841,350 and 1,315,655,356 is: 2,701,057,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,841,350 : 1,315,655,356 = 1,315,655,356 : x
  2. Step 2: Convert to fraction form
    640,841,350/1,315,655,356 = 1,315,655,356/x
  3. Step 3: Cross multiply
    640,841,350x = 1,315,655,356 × 1,315,655,356
  4. Step 4: Simplify right side
    640,841,350x = 1,730,949,015,771,486,720
  5. Step 5: Solve for x
    x = 1,730,949,015,771,486,720/640,841,350
  6. Step 6: Final answer
    x = 2,701,057,002.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.