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Finding the Third Proportional to 78,248,841,874 and 169,490,995,839

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Solution

The third proportional to 78,248,841,874 and 169,490,995,839 is: 367,126,170,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,248,841,874 : 169,490,995,839 = 169,490,995,839 : x
  2. Step 2: Convert to fraction form
    78,248,841,874/169,490,995,839 = 169,490,995,839/x
  3. Step 3: Cross multiply
    78,248,841,874x = 169,490,995,839 × 169,490,995,839
  4. Step 4: Simplify right side
    78,248,841,874x = 28,727,197,670,495,913,771,008
  5. Step 5: Solve for x
    x = 28,727,197,670,495,913,771,008/78,248,841,874
  6. Step 6: Final answer
    x = 367,126,170,592.45

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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.