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Finding the Third Proportional to 5,278,108,232 and 7,744,619,656

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Solution

The third proportional to 5,278,108,232 and 7,744,619,656 is: 11,363,755,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278,108,232 : 7,744,619,656 = 7,744,619,656 : x
  2. Step 2: Convert to fraction form
    5,278,108,232/7,744,619,656 = 7,744,619,656/x
  3. Step 3: Cross multiply
    5,278,108,232x = 7,744,619,656 × 7,744,619,656
  4. Step 4: Simplify right side
    5,278,108,232x = 59,979,133,616,101,556,224
  5. Step 5: Solve for x
    x = 59,979,133,616,101,556,224/5,278,108,232
  6. Step 6: Final answer
    x = 11,363,755,910.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.