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Finding the Third Proportional to 357,246,846 and 766,183,747.50

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Solution

The third proportional to 357,246,846 and 766,183,747.50 is: 1,643,226,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,246,846 : 766,183,747.50 = 766,183,747.50 : x
  2. Step 2: Convert to fraction form
    357,246,846/766,183,747.50 = 766,183,747.50/x
  3. Step 3: Cross multiply
    357,246,846x = 766,183,747.50 × 766,183,747.50
  4. Step 4: Simplify right side
    357,246,846x = 587,037,534,933,143,808
  5. Step 5: Solve for x
    x = 587,037,534,933,143,808/357,246,846
  6. Step 6: Final answer
    x = 1,643,226,641.48

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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.