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Finding the Third Proportional to 9,374,342,803.50 and 14,281,285,923

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Solution

The third proportional to 9,374,342,803.50 and 14,281,285,923 is: 21,756,738,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374,342,803.50 : 14,281,285,923 = 14,281,285,923 : x
  2. Step 2: Convert to fraction form
    9,374,342,803.50/14,281,285,923 = 14,281,285,923/x
  3. Step 3: Cross multiply
    9,374,342,803.50x = 14,281,285,923 × 14,281,285,923
  4. Step 4: Simplify right side
    9,374,342,803.50x = 203,955,127,614,477,959,168
  5. Step 5: Solve for x
    x = 203,955,127,614,477,959,168/9,374,342,803.50
  6. Step 6: Final answer
    x = 21,756,738,780.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.