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Finding the Third Proportional to 568,431,579 and 1,244,012,797.50

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Solution

The third proportional to 568,431,579 and 1,244,012,797.50 is: 2,722,522,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,431,579 : 1,244,012,797.50 = 1,244,012,797.50 : x
  2. Step 2: Convert to fraction form
    568,431,579/1,244,012,797.50 = 1,244,012,797.50/x
  3. Step 3: Cross multiply
    568,431,579x = 1,244,012,797.50 × 1,244,012,797.50
  4. Step 4: Simplify right side
    568,431,579x = 1,547,567,840,343,776,000
  5. Step 5: Solve for x
    x = 1,547,567,840,343,776,000/568,431,579
  6. Step 6: Final answer
    x = 2,722,522,635.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.