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Finding the Third Proportional to 12,453,609 and 27,024,085.50

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Solution

The third proportional to 12,453,609 and 27,024,085.50 is: 58,641,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453,609 : 27,024,085.50 = 27,024,085.50 : x
  2. Step 2: Convert to fraction form
    12,453,609/27,024,085.50 = 27,024,085.50/x
  3. Step 3: Cross multiply
    12,453,609x = 27,024,085.50 × 27,024,085.50
  4. Step 4: Simplify right side
    12,453,609x = 730,301,197,111,310.25
  5. Step 5: Solve for x
    x = 730,301,197,111,310.25/12,453,609
  6. Step 6: Final answer
    x = 58,641,731.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.