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Finding the Third Proportional to 751,177,410 and 1,605,732,132

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Solution

The third proportional to 751,177,410 and 1,605,732,132 is: 3,432,445,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,177,410 : 1,605,732,132 = 1,605,732,132 : x
  2. Step 2: Convert to fraction form
    751,177,410/1,605,732,132 = 1,605,732,132/x
  3. Step 3: Cross multiply
    751,177,410x = 1,605,732,132 × 1,605,732,132
  4. Step 4: Simplify right side
    751,177,410x = 2,578,375,679,737,265,664
  5. Step 5: Solve for x
    x = 2,578,375,679,737,265,664/751,177,410
  6. Step 6: Final answer
    x = 3,432,445,711.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.