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Finding the Third Proportional to 4,620,517,632 and 9,977,598,656

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Solution

The third proportional to 4,620,517,632 and 9,977,598,656 is: 21,545,740,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620,517,632 : 9,977,598,656 = 9,977,598,656 : x
  2. Step 2: Convert to fraction form
    4,620,517,632/9,977,598,656 = 9,977,598,656/x
  3. Step 3: Cross multiply
    4,620,517,632x = 9,977,598,656 × 9,977,598,656
  4. Step 4: Simplify right side
    4,620,517,632x = 99,552,474,940,213,002,240
  5. Step 5: Solve for x
    x = 99,552,474,940,213,002,240/4,620,517,632
  6. Step 6: Final answer
    x = 21,545,740,730.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.