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Finding the Third Proportional to 12,490,890.19 and 27,853,799.06

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Solution

The third proportional to 12,490,890.19 and 27,853,799.06 is: 62,111,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490,890.19 : 27,853,799.06 = 27,853,799.06 : x
  2. Step 2: Convert to fraction form
    12,490,890.19/27,853,799.06 = 27,853,799.06/x
  3. Step 3: Cross multiply
    12,490,890.19x = 27,853,799.06 × 27,853,799.06
  4. Step 4: Simplify right side
    12,490,890.19x = 775,834,122,214,125.88
  5. Step 5: Solve for x
    x = 775,834,122,214,125.88/12,490,890.19
  6. Step 6: Final answer
    x = 62,111,996.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.