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Finding the Third Proportional to 822,121,938 and 1,940,060,653

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Solution

The third proportional to 822,121,938 and 1,940,060,653 is: 4,578,195,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,121,938 : 1,940,060,653 = 1,940,060,653 : x
  2. Step 2: Convert to fraction form
    822,121,938/1,940,060,653 = 1,940,060,653/x
  3. Step 3: Cross multiply
    822,121,938x = 1,940,060,653 × 1,940,060,653
  4. Step 4: Simplify right side
    822,121,938x = 3,763,835,337,318,786,560
  5. Step 5: Solve for x
    x = 3,763,835,337,318,786,560/822,121,938
  6. Step 6: Final answer
    x = 4,578,195,962.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.