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Finding the Third Proportional to 2,257,262,816 and 4,720,342,775

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Solution

The third proportional to 2,257,262,816 and 4,720,342,775 is: 9,871,086,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,262,816 : 4,720,342,775 = 4,720,342,775 : x
  2. Step 2: Convert to fraction form
    2,257,262,816/4,720,342,775 = 4,720,342,775/x
  3. Step 3: Cross multiply
    2,257,262,816x = 4,720,342,775 × 4,720,342,775
  4. Step 4: Simplify right side
    2,257,262,816x = 22,281,635,913,494,700,032
  5. Step 5: Solve for x
    x = 22,281,635,913,494,700,032/2,257,262,816
  6. Step 6: Final answer
    x = 9,871,086,235.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.