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Finding the Third Proportional to 927,419,211 and 2,000,116,982

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Solution

The third proportional to 927,419,211 and 2,000,116,982 is: 4,313,548,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,419,211 : 2,000,116,982 = 2,000,116,982 : x
  2. Step 2: Convert to fraction form
    927,419,211/2,000,116,982 = 2,000,116,982/x
  3. Step 3: Cross multiply
    927,419,211x = 2,000,116,982 × 2,000,116,982
  4. Step 4: Simplify right side
    927,419,211x = 4,000,467,941,684,788,224
  5. Step 5: Solve for x
    x = 4,000,467,941,684,788,224/927,419,211
  6. Step 6: Final answer
    x = 4,313,548,710.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.