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Finding the Third Proportional to 357,246,856 and 766,183,760

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Solution

The third proportional to 357,246,856 and 766,183,760 is: 1,643,226,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,246,856 : 766,183,760 = 766,183,760 : x
  2. Step 2: Convert to fraction form
    357,246,856/766,183,760 = 766,183,760/x
  3. Step 3: Cross multiply
    357,246,856x = 766,183,760 × 766,183,760
  4. Step 4: Simplify right side
    357,246,856x = 587,037,554,087,737,600
  5. Step 5: Solve for x
    x = 587,037,554,087,737,600/357,246,856
  6. Step 6: Final answer
    x = 1,643,226,649.10

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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.