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Finding the Third Proportional to 2,129,254,022 and 4,633,443,280

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Solution

The third proportional to 2,129,254,022 and 4,633,443,280 is: 10,082,778,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,254,022 : 4,633,443,280 = 4,633,443,280 : x
  2. Step 2: Convert to fraction form
    2,129,254,022/4,633,443,280 = 4,633,443,280/x
  3. Step 3: Cross multiply
    2,129,254,022x = 4,633,443,280 × 4,633,443,280
  4. Step 4: Simplify right side
    2,129,254,022x = 21,468,796,628,977,160,192
  5. Step 5: Solve for x
    x = 21,468,796,628,977,160,192/2,129,254,022
  6. Step 6: Final answer
    x = 10,082,778,478.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.