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Finding the Third Proportional to 822,121,936 and 1,940,060,648

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Solution

The third proportional to 822,121,936 and 1,940,060,648 is: 4,578,195,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,121,936 : 1,940,060,648 = 1,940,060,648 : x
  2. Step 2: Convert to fraction form
    822,121,936/1,940,060,648 = 1,940,060,648/x
  3. Step 3: Cross multiply
    822,121,936x = 1,940,060,648 × 1,940,060,648
  4. Step 4: Simplify right side
    822,121,936x = 3,763,835,317,918,179,840
  5. Step 5: Solve for x
    x = 3,763,835,317,918,179,840/822,121,936
  6. Step 6: Final answer
    x = 4,578,195,950.14

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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.