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Finding the Third Proportional to 3,181,504,788 and 6,913,715,319

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Solution

The third proportional to 3,181,504,788 and 6,913,715,319 is: 15,024,167,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181,504,788 : 6,913,715,319 = 6,913,715,319 : x
  2. Step 2: Convert to fraction form
    3,181,504,788/6,913,715,319 = 6,913,715,319/x
  3. Step 3: Cross multiply
    3,181,504,788x = 6,913,715,319 × 6,913,715,319
  4. Step 4: Simplify right side
    3,181,504,788x = 47,799,459,512,175,271,936
  5. Step 5: Solve for x
    x = 47,799,459,512,175,271,936/3,181,504,788
  6. Step 6: Final answer
    x = 15,024,167,083.60

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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.