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Finding the Third Proportional to 1,327,716,410 and 2,895,718,477

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Solution

The third proportional to 1,327,716,410 and 2,895,718,477 is: 6,315,494,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,716,410 : 2,895,718,477 = 2,895,718,477 : x
  2. Step 2: Convert to fraction form
    1,327,716,410/2,895,718,477 = 2,895,718,477/x
  3. Step 3: Cross multiply
    1,327,716,410x = 2,895,718,477 × 2,895,718,477
  4. Step 4: Simplify right side
    1,327,716,410x = 8,385,185,498,039,199,744
  5. Step 5: Solve for x
    x = 8,385,185,498,039,199,744/1,327,716,410
  6. Step 6: Final answer
    x = 6,315,494,359.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.