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Finding the Third Proportional to 2,191,490,366 and 4,693,276,828

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Solution

The third proportional to 2,191,490,366 and 4,693,276,828 is: 10,051,081,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,490,366 : 4,693,276,828 = 4,693,276,828 : x
  2. Step 2: Convert to fraction form
    2,191,490,366/4,693,276,828 = 4,693,276,828/x
  3. Step 3: Cross multiply
    2,191,490,366x = 4,693,276,828 × 4,693,276,828
  4. Step 4: Simplify right side
    2,191,490,366x = 22,026,847,384,241,741,824
  5. Step 5: Solve for x
    x = 22,026,847,384,241,741,824/2,191,490,366
  6. Step 6: Final answer
    x = 10,051,081,093.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.