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Finding the Third Proportional to 942,659,398,974 and 2,067,822,513,276

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Solution

The third proportional to 942,659,398,974 and 2,067,822,513,276 is: 4,535,986,116,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,659,398,974 : 2,067,822,513,276 = 2,067,822,513,276 : x
  2. Step 2: Convert to fraction form
    942,659,398,974/2,067,822,513,276 = 2,067,822,513,276/x
  3. Step 3: Cross multiply
    942,659,398,974x = 2,067,822,513,276 × 2,067,822,513,276
  4. Step 4: Simplify right side
    942,659,398,974x = 4,275,889,946,411,073,036,877,824
  5. Step 5: Solve for x
    x = 4,275,889,946,411,073,036,877,824/942,659,398,974
  6. Step 6: Final answer
    x = 4,535,986,116,581.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.