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Finding the Third Proportional to 2,598,335,376 and 5,334,416,400

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Solution

The third proportional to 2,598,335,376 and 5,334,416,400 is: 10,951,626,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598,335,376 : 5,334,416,400 = 5,334,416,400 : x
  2. Step 2: Convert to fraction form
    2,598,335,376/5,334,416,400 = 5,334,416,400/x
  3. Step 3: Cross multiply
    2,598,335,376x = 5,334,416,400 × 5,334,416,400
  4. Step 4: Simplify right side
    2,598,335,376x = 28,455,998,328,588,959,744
  5. Step 5: Solve for x
    x = 28,455,998,328,588,959,744/2,598,335,376
  6. Step 6: Final answer
    x = 10,951,626,411.06

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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.