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Finding the Third Proportional to 372,588,527,150 and 810,458,416,780

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Solution

The third proportional to 372,588,527,150 and 810,458,416,780 is: 1,762,917,528,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,588,527,150 : 810,458,416,780 = 810,458,416,780 : x
  2. Step 2: Convert to fraction form
    372,588,527,150/810,458,416,780 = 810,458,416,780/x
  3. Step 3: Cross multiply
    372,588,527,150x = 810,458,416,780 × 810,458,416,780
  4. Step 4: Simplify right side
    372,588,527,150x = 656,842,845,329,544,181,710,848
  5. Step 5: Solve for x
    x = 656,842,845,329,544,181,710,848/372,588,527,150
  6. Step 6: Final answer
    x = 1,762,917,528,228.42

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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.