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Finding the Third Proportional to 2,129,253,962 and 4,633,443,153

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Solution

The third proportional to 2,129,253,962 and 4,633,443,153 is: 10,082,778,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,253,962 : 4,633,443,153 = 4,633,443,153 : x
  2. Step 2: Convert to fraction form
    2,129,253,962/4,633,443,153 = 4,633,443,153/x
  3. Step 3: Cross multiply
    2,129,253,962x = 4,633,443,153 × 4,633,443,153
  4. Step 4: Simplify right side
    2,129,253,962x = 21,468,795,452,082,581,504
  5. Step 5: Solve for x
    x = 21,468,795,452,082,581,504/2,129,253,962
  6. Step 6: Final answer
    x = 10,082,778,210.22

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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.