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Finding the Third Proportional to 949,697,727 and 2,061,828,315

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Solution

The third proportional to 949,697,727 and 2,061,828,315 is: 4,476,304,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,697,727 : 2,061,828,315 = 2,061,828,315 : x
  2. Step 2: Convert to fraction form
    949,697,727/2,061,828,315 = 2,061,828,315/x
  3. Step 3: Cross multiply
    949,697,727x = 2,061,828,315 × 2,061,828,315
  4. Step 4: Simplify right side
    949,697,727x = 4,251,136,000,535,739,392
  5. Step 5: Solve for x
    x = 4,251,136,000,535,739,392/949,697,727
  6. Step 6: Final answer
    x = 4,476,304,280.48

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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.