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Finding the Third Proportional to 326,554,989.75 and 705,058,519.50

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Solution

The third proportional to 326,554,989.75 and 705,058,519.50 is: 1,522,278,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,554,989.75 : 705,058,519.50 = 705,058,519.50 : x
  2. Step 2: Convert to fraction form
    326,554,989.75/705,058,519.50 = 705,058,519.50/x
  3. Step 3: Cross multiply
    326,554,989.75x = 705,058,519.50 × 705,058,519.50
  4. Step 4: Simplify right side
    326,554,989.75x = 497,107,515,919,531,904
  5. Step 5: Solve for x
    x = 497,107,515,919,531,904/326,554,989.75
  6. Step 6: Final answer
    x = 1,522,278,120.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.