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Finding the Third Proportional to 2,251,112,841 and 4,960,207,458

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Solution

The third proportional to 2,251,112,841 and 4,960,207,458 is: 10,929,553,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,112,841 : 4,960,207,458 = 4,960,207,458 : x
  2. Step 2: Convert to fraction form
    2,251,112,841/4,960,207,458 = 4,960,207,458/x
  3. Step 3: Cross multiply
    2,251,112,841x = 4,960,207,458 × 4,960,207,458
  4. Step 4: Simplify right side
    2,251,112,841x = 24,603,658,026,398,822,400
  5. Step 5: Solve for x
    x = 24,603,658,026,398,822,400/2,251,112,841
  6. Step 6: Final answer
    x = 10,929,553,409.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.