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Finding the Third Proportional to 891,303,214,480.88 and 1,930,608,374,494.50

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Solution

The third proportional to 891,303,214,480.88 and 1,930,608,374,494.50 is: 4,181,796,536,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,303,214,480.88 : 1,930,608,374,494.50 = 1,930,608,374,494.50 : x
  2. Step 2: Convert to fraction form
    891,303,214,480.88/1,930,608,374,494.50 = 1,930,608,374,494.50/x
  3. Step 3: Cross multiply
    891,303,214,480.88x = 1,930,608,374,494.50 × 1,930,608,374,494.50
  4. Step 4: Simplify right side
    891,303,214,480.88x = 3,727,248,695,668,295,382,073,344
  5. Step 5: Solve for x
    x = 3,727,248,695,668,295,382,073,344/891,303,214,480.88
  6. Step 6: Final answer
    x = 4,181,796,536,927.28

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Why These Related Problems?

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