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Finding the Third Proportional to 247,345,056 and 537,310,368

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Solution

The third proportional to 247,345,056 and 537,310,368 is: 1,167,205,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,345,056 : 537,310,368 = 537,310,368 : x
  2. Step 2: Convert to fraction form
    247,345,056/537,310,368 = 537,310,368/x
  3. Step 3: Cross multiply
    247,345,056x = 537,310,368 × 537,310,368
  4. Step 4: Simplify right side
    247,345,056x = 288,702,431,560,295,424
  5. Step 5: Solve for x
    x = 288,702,431,560,295,424/247,345,056
  6. Step 6: Final answer
    x = 1,167,205,183.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.