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Finding the Third Proportional to 864,005,448 and 1,900,276,512

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Solution

The third proportional to 864,005,448 and 1,900,276,512 is: 4,179,430,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,005,448 : 1,900,276,512 = 1,900,276,512 : x
  2. Step 2: Convert to fraction form
    864,005,448/1,900,276,512 = 1,900,276,512/x
  3. Step 3: Cross multiply
    864,005,448x = 1,900,276,512 × 1,900,276,512
  4. Step 4: Simplify right side
    864,005,448x = 3,611,050,822,058,886,144
  5. Step 5: Solve for x
    x = 3,611,050,822,058,886,144/864,005,448
  6. Step 6: Final answer
    x = 4,179,430,616.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.