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Finding the Third Proportional to 2,632,460,902 and 5,356,858,328

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Solution

The third proportional to 2,632,460,902 and 5,356,858,328 is: 10,900,800,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632,460,902 : 5,356,858,328 = 5,356,858,328 : x
  2. Step 2: Convert to fraction form
    2,632,460,902/5,356,858,328 = 5,356,858,328/x
  3. Step 3: Cross multiply
    2,632,460,902x = 5,356,858,328 × 5,356,858,328
  4. Step 4: Simplify right side
    2,632,460,902x = 28,695,931,146,262,953,984
  5. Step 5: Solve for x
    x = 28,695,931,146,262,953,984/2,632,460,902
  6. Step 6: Final answer
    x = 10,900,800,511.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.