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Finding the Third Proportional to 357,246,810 and 766,183,668

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Solution

The third proportional to 357,246,810 and 766,183,668 is: 1,643,226,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,246,810 : 766,183,668 = 766,183,668 : x
  2. Step 2: Convert to fraction form
    357,246,810/766,183,668 = 766,183,668/x
  3. Step 3: Cross multiply
    357,246,810x = 766,183,668 × 766,183,668
  4. Step 4: Simplify right side
    357,246,810x = 587,037,413,109,934,208
  5. Step 5: Solve for x
    x = 587,037,413,109,934,208/357,246,810
  6. Step 6: Final answer
    x = 1,643,226,466.07

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