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Finding the Third Proportional to 5,175,474,344 and 7,400,985,254

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Solution

The third proportional to 5,175,474,344 and 7,400,985,254 is: 10,583,490,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175,474,344 : 7,400,985,254 = 7,400,985,254 : x
  2. Step 2: Convert to fraction form
    5,175,474,344/7,400,985,254 = 7,400,985,254/x
  3. Step 3: Cross multiply
    5,175,474,344x = 7,400,985,254 × 7,400,985,254
  4. Step 4: Simplify right side
    5,175,474,344x = 54,774,582,729,925,443,584
  5. Step 5: Solve for x
    x = 54,774,582,729,925,443,584/5,175,474,344
  6. Step 6: Final answer
    x = 10,583,490,341.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.