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Finding the Third Proportional to 994,353,421.50 and 1,505,349,524.25

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Solution

The third proportional to 994,353,421.50 and 1,505,349,524.25 is: 2,278,945,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,353,421.50 : 1,505,349,524.25 = 1,505,349,524.25 : x
  2. Step 2: Convert to fraction form
    994,353,421.50/1,505,349,524.25 = 1,505,349,524.25/x
  3. Step 3: Cross multiply
    994,353,421.50x = 1,505,349,524.25 × 1,505,349,524.25
  4. Step 4: Simplify right side
    994,353,421.50x = 2,266,077,190,159,701,248
  5. Step 5: Solve for x
    x = 2,266,077,190,159,701,248/994,353,421.50
  6. Step 6: Final answer
    x = 2,278,945,434.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.