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Finding the Third Proportional to 265,910,618 and 408,471,267

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Solution

The third proportional to 265,910,618 and 408,471,267 is: 627,461,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,910,618 : 408,471,267 = 408,471,267 : x
  2. Step 2: Convert to fraction form
    265,910,618/408,471,267 = 408,471,267/x
  3. Step 3: Cross multiply
    265,910,618x = 408,471,267 × 408,471,267
  4. Step 4: Simplify right side
    265,910,618x = 166,848,775,964,585,280
  5. Step 5: Solve for x
    x = 166,848,775,964,585,280/265,910,618
  6. Step 6: Final answer
    x = 627,461,878.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.