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Finding the Third Proportional to 7,799,828.06 and 17,392,037.63

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Solution

The third proportional to 7,799,828.06 and 17,392,037.63 is: 38,780,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799,828.06 : 17,392,037.63 = 17,392,037.63 : x
  2. Step 2: Convert to fraction form
    7,799,828.06/17,392,037.63 = 17,392,037.63/x
  3. Step 3: Cross multiply
    7,799,828.06x = 17,392,037.63 × 17,392,037.63
  4. Step 4: Simplify right side
    7,799,828.06x = 302,482,972,749,415.62
  5. Step 5: Solve for x
    x = 302,482,972,749,415.62/7,799,828.06
  6. Step 6: Final answer
    x = 38,780,723.16

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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.