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Finding the Third Proportional to 865,867,471 and 1,890,448,718

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Solution

The third proportional to 865,867,471 and 1,890,448,718 is: 4,127,417,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,867,471 : 1,890,448,718 = 1,890,448,718 : x
  2. Step 2: Convert to fraction form
    865,867,471/1,890,448,718 = 1,890,448,718/x
  3. Step 3: Cross multiply
    865,867,471x = 1,890,448,718 × 1,890,448,718
  4. Step 4: Simplify right side
    865,867,471x = 3,573,796,355,387,843,584
  5. Step 5: Solve for x
    x = 3,573,796,355,387,843,584/865,867,471
  6. Step 6: Final answer
    x = 4,127,417,272.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.