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Finding the Third Proportional to 1,902,573,668 and 2,910,724,689

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Solution

The third proportional to 1,902,573,668 and 2,910,724,689 is: 4,453,082,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,573,668 : 2,910,724,689 = 2,910,724,689 : x
  2. Step 2: Convert to fraction form
    1,902,573,668/2,910,724,689 = 2,910,724,689/x
  3. Step 3: Cross multiply
    1,902,573,668x = 2,910,724,689 × 2,910,724,689
  4. Step 4: Simplify right side
    1,902,573,668x = 8,472,318,215,154,146,304
  5. Step 5: Solve for x
    x = 8,472,318,215,154,146,304/1,902,573,668
  6. Step 6: Final answer
    x = 4,453,082,872.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.