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Finding the Third Proportional to 5,175,474,341 and 7,400,985,252

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Solution

The third proportional to 5,175,474,341 and 7,400,985,252 is: 10,583,490,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175,474,341 : 7,400,985,252 = 7,400,985,252 : x
  2. Step 2: Convert to fraction form
    5,175,474,341/7,400,985,252 = 7,400,985,252/x
  3. Step 3: Cross multiply
    5,175,474,341x = 7,400,985,252 × 7,400,985,252
  4. Step 4: Simplify right side
    5,175,474,341x = 54,774,582,700,321,505,280
  5. Step 5: Solve for x
    x = 54,774,582,700,321,505,280/5,175,474,341
  6. Step 6: Final answer
    x = 10,583,490,341.44

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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.