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Finding the Third Proportional to 12,567,451.50 and 27,374,364

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Solution

The third proportional to 12,567,451.50 and 27,374,364 is: 59,626,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,451.50 : 27,374,364 = 27,374,364 : x
  2. Step 2: Convert to fraction form
    12,567,451.50/27,374,364 = 27,374,364/x
  3. Step 3: Cross multiply
    12,567,451.50x = 27,374,364 × 27,374,364
  4. Step 4: Simplify right side
    12,567,451.50x = 749,355,804,404,496
  5. Step 5: Solve for x
    x = 749,355,804,404,496/12,567,451.50
  6. Step 6: Final answer
    x = 59,626,711.46

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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.