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Finding the Third Proportional to 372,352,886,118 and 532,465,261,249

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Solution

The third proportional to 372,352,886,118 and 532,465,261,249 is: 761,426,230,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,352,886,118 : 532,465,261,249 = 532,465,261,249 : x
  2. Step 2: Convert to fraction form
    372,352,886,118/532,465,261,249 = 532,465,261,249/x
  3. Step 3: Cross multiply
    372,352,886,118x = 532,465,261,249 × 532,465,261,249
  4. Step 4: Simplify right side
    372,352,886,118x = 283,519,254,436,965,819,351,040
  5. Step 5: Solve for x
    x = 283,519,254,436,965,819,351,040/372,352,886,118
  6. Step 6: Final answer
    x = 761,426,230,350.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.