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Finding the Third Proportional to 259,186,516 and 566,778,812

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Solution

The third proportional to 259,186,516 and 566,778,812 is: 1,239,409,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,186,516 : 566,778,812 = 566,778,812 : x
  2. Step 2: Convert to fraction form
    259,186,516/566,778,812 = 566,778,812/x
  3. Step 3: Cross multiply
    259,186,516x = 566,778,812 × 566,778,812
  4. Step 4: Simplify right side
    259,186,516x = 321,238,221,732,131,328
  5. Step 5: Solve for x
    x = 321,238,221,732,131,328/259,186,516
  6. Step 6: Final answer
    x = 1,239,409,467.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.