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Finding the Third Proportional to 854,165,414 and 1,331,186,889

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Solution

The third proportional to 854,165,414 and 1,331,186,889 is: 2,074,608,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,165,414 : 1,331,186,889 = 1,331,186,889 : x
  2. Step 2: Convert to fraction form
    854,165,414/1,331,186,889 = 1,331,186,889/x
  3. Step 3: Cross multiply
    854,165,414x = 1,331,186,889 × 1,331,186,889
  4. Step 4: Simplify right side
    854,165,414x = 1,772,058,533,445,498,368
  5. Step 5: Solve for x
    x = 1,772,058,533,445,498,368/854,165,414
  6. Step 6: Final answer
    x = 2,074,608,154.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.