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Finding the Third Proportional to 6,984,769,952 and 10,474,589,376

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Solution

The third proportional to 6,984,769,952 and 10,474,589,376 is: 15,708,036,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,769,952 : 10,474,589,376 = 10,474,589,376 : x
  2. Step 2: Convert to fraction form
    6,984,769,952/10,474,589,376 = 10,474,589,376/x
  3. Step 3: Cross multiply
    6,984,769,952x = 10,474,589,376 × 10,474,589,376
  4. Step 4: Simplify right side
    6,984,769,952x = 109,717,022,595,812,065,280
  5. Step 5: Solve for x
    x = 109,717,022,595,812,065,280/6,984,769,952
  6. Step 6: Final answer
    x = 15,708,036,678.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.