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Finding the Third Proportional to 761,181,846.75 and 1,211,199,621.75

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Solution

The third proportional to 761,181,846.75 and 1,211,199,621.75 is: 1,927,272,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,181,846.75 : 1,211,199,621.75 = 1,211,199,621.75 : x
  2. Step 2: Convert to fraction form
    761,181,846.75/1,211,199,621.75 = 1,211,199,621.75/x
  3. Step 3: Cross multiply
    761,181,846.75x = 1,211,199,621.75 × 1,211,199,621.75
  4. Step 4: Simplify right side
    761,181,846.75x = 1,467,004,523,727,343,104
  5. Step 5: Solve for x
    x = 1,467,004,523,727,343,104/761,181,846.75
  6. Step 6: Final answer
    x = 1,927,272,083.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.