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Finding the Third Proportional to 865,867,472 and 1,890,448,720

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Solution

The third proportional to 865,867,472 and 1,890,448,720 is: 4,127,417,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,867,472 : 1,890,448,720 = 1,890,448,720 : x
  2. Step 2: Convert to fraction form
    865,867,472/1,890,448,720 = 1,890,448,720/x
  3. Step 3: Cross multiply
    865,867,472x = 1,890,448,720 × 1,890,448,720
  4. Step 4: Simplify right side
    865,867,472x = 3,573,796,362,949,638,144
  5. Step 5: Solve for x
    x = 3,573,796,362,949,638,144/865,867,472
  6. Step 6: Final answer
    x = 4,127,417,276.34

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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.