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Finding the Third Proportional to 2,233,890 and 4,877,444.25

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Solution

The third proportional to 2,233,890 and 4,877,444.25 is: 10,649,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233,890 : 4,877,444.25 = 4,877,444.25 : x
  2. Step 2: Convert to fraction form
    2,233,890/4,877,444.25 = 4,877,444.25/x
  3. Step 3: Cross multiply
    2,233,890x = 4,877,444.25 × 4,877,444.25
  4. Step 4: Simplify right side
    2,233,890x = 23,789,462,411,858.06
  5. Step 5: Solve for x
    x = 23,789,462,411,858.06/2,233,890
  6. Step 6: Final answer
    x = 10,649,343.71

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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.