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Finding the Third Proportional to 12,413,161.50 and 19,374,266.25

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Solution

The third proportional to 12,413,161.50 and 19,374,266.25 is: 30,239,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413,161.50 : 19,374,266.25 = 19,374,266.25 : x
  2. Step 2: Convert to fraction form
    12,413,161.50/19,374,266.25 = 19,374,266.25/x
  3. Step 3: Cross multiply
    12,413,161.50x = 19,374,266.25 × 19,374,266.25
  4. Step 4: Simplify right side
    12,413,161.50x = 375,362,192,725,889.06
  5. Step 5: Solve for x
    x = 375,362,192,725,889.06/12,413,161.50
  6. Step 6: Final answer
    x = 30,239,048.51

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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.