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Finding the Third Proportional to 2,598,335,370 and 5,334,416,390

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Solution

The third proportional to 2,598,335,370 and 5,334,416,390 is: 10,951,626,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598,335,370 : 5,334,416,390 = 5,334,416,390 : x
  2. Step 2: Convert to fraction form
    2,598,335,370/5,334,416,390 = 5,334,416,390/x
  3. Step 3: Cross multiply
    2,598,335,370x = 5,334,416,390 × 5,334,416,390
  4. Step 4: Simplify right side
    2,598,335,370x = 28,455,998,221,900,632,064
  5. Step 5: Solve for x
    x = 28,455,998,221,900,632,064/2,598,335,370
  6. Step 6: Final answer
    x = 10,951,626,395.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.