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Finding the Third Proportional to 947,561,928.75 and 2,044,946,634.75

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Solution

The third proportional to 947,561,928.75 and 2,044,946,634.75 is: 4,413,227,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,561,928.75 : 2,044,946,634.75 = 2,044,946,634.75 : x
  2. Step 2: Convert to fraction form
    947,561,928.75/2,044,946,634.75 = 2,044,946,634.75/x
  3. Step 3: Cross multiply
    947,561,928.75x = 2,044,946,634.75 × 2,044,946,634.75
  4. Step 4: Simplify right side
    947,561,928.75x = 4,181,806,738,975,349,760
  5. Step 5: Solve for x
    x = 4,181,806,738,975,349,760/947,561,928.75
  6. Step 6: Final answer
    x = 4,413,227,897.93

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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.