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Finding the Third Proportional to 268,106,662 and 409,957,864

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Solution

The third proportional to 268,106,662 and 409,957,864 is: 626,860,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,106,662 : 409,957,864 = 409,957,864 : x
  2. Step 2: Convert to fraction form
    268,106,662/409,957,864 = 409,957,864/x
  3. Step 3: Cross multiply
    268,106,662x = 409,957,864 × 409,957,864
  4. Step 4: Simplify right side
    268,106,662x = 168,065,450,255,442,496
  5. Step 5: Solve for x
    x = 168,065,450,255,442,496/268,106,662
  6. Step 6: Final answer
    x = 626,860,403.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.