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Finding the Third Proportional to 2,191,490,357 and 4,693,276,810

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Solution

The third proportional to 2,191,490,357 and 4,693,276,810 is: 10,051,081,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,490,357 : 4,693,276,810 = 4,693,276,810 : x
  2. Step 2: Convert to fraction form
    2,191,490,357/4,693,276,810 = 4,693,276,810/x
  3. Step 3: Cross multiply
    2,191,490,357x = 4,693,276,810 × 4,693,276,810
  4. Step 4: Simplify right side
    2,191,490,357x = 22,026,847,215,283,777,536
  5. Step 5: Solve for x
    x = 22,026,847,215,283,777,536/2,191,490,357
  6. Step 6: Final answer
    x = 10,051,081,057.66

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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.