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Finding the Third Proportional to 310,474,056 and 630,071,496

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Solution

The third proportional to 310,474,056 and 630,071,496 is: 1,278,657,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,474,056 : 630,071,496 = 630,071,496 : x
  2. Step 2: Convert to fraction form
    310,474,056/630,071,496 = 630,071,496/x
  3. Step 3: Cross multiply
    310,474,056x = 630,071,496 × 630,071,496
  4. Step 4: Simplify right side
    310,474,056x = 396,990,090,071,678,016
  5. Step 5: Solve for x
    x = 396,990,090,071,678,016/310,474,056
  6. Step 6: Final answer
    x = 1,278,657,853.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.