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Finding the Third Proportional to 947,561,945.63 and 2,044,946,695.50

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Solution

The third proportional to 947,561,945.63 and 2,044,946,695.50 is: 4,413,228,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,561,945.63 : 2,044,946,695.50 = 2,044,946,695.50 : x
  2. Step 2: Convert to fraction form
    947,561,945.63/2,044,946,695.50 = 2,044,946,695.50/x
  3. Step 3: Cross multiply
    947,561,945.63x = 2,044,946,695.50 × 2,044,946,695.50
  4. Step 4: Simplify right side
    947,561,945.63x = 4,181,806,987,436,369,920
  5. Step 5: Solve for x
    x = 4,181,806,987,436,369,920/947,561,945.63
  6. Step 6: Final answer
    x = 4,413,228,081.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.