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Finding the Third Proportional to 854,165,412 and 1,331,186,886

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Solution

The third proportional to 854,165,412 and 1,331,186,886 is: 2,074,608,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,165,412 : 1,331,186,886 = 1,331,186,886 : x
  2. Step 2: Convert to fraction form
    854,165,412/1,331,186,886 = 1,331,186,886/x
  3. Step 3: Cross multiply
    854,165,412x = 1,331,186,886 × 1,331,186,886
  4. Step 4: Simplify right side
    854,165,412x = 1,772,058,525,458,376,960
  5. Step 5: Solve for x
    x = 1,772,058,525,458,376,960/854,165,412
  6. Step 6: Final answer
    x = 2,074,608,150.32

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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.