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Finding the Third Proportional to 2,389,140 and 5,158,634.63

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Solution

The third proportional to 2,389,140 and 5,158,634.63 is: 11,138,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,140 : 5,158,634.63 = 5,158,634.63 : x
  2. Step 2: Convert to fraction form
    2,389,140/5,158,634.63 = 5,158,634.63/x
  3. Step 3: Cross multiply
    2,389,140x = 5,158,634.63 × 5,158,634.63
  4. Step 4: Simplify right side
    2,389,140x = 26,611,511,194,248.89
  5. Step 5: Solve for x
    x = 26,611,511,194,248.89/2,389,140
  6. Step 6: Final answer
    x = 11,138,531.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.