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Finding the Third Proportional to 251,478,988,098 and 548,473,026,414

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Solution

The third proportional to 251,478,988,098 and 548,473,026,414 is: 1,196,213,898,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,478,988,098 : 548,473,026,414 = 548,473,026,414 : x
  2. Step 2: Convert to fraction form
    251,478,988,098/548,473,026,414 = 548,473,026,414/x
  3. Step 3: Cross multiply
    251,478,988,098x = 548,473,026,414 × 548,473,026,414
  4. Step 4: Simplify right side
    251,478,988,098x = 300,822,660,703,732,331,708,416
  5. Step 5: Solve for x
    x = 300,822,660,703,732,331,708,416/251,478,988,098
  6. Step 6: Final answer
    x = 1,196,213,898,341.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.