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Finding the Third Proportional to 625,686,944 and 852,078,824

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Solution

The third proportional to 625,686,944 and 852,078,824 is: 1,160,385,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,686,944 : 852,078,824 = 852,078,824 : x
  2. Step 2: Convert to fraction form
    625,686,944/852,078,824 = 852,078,824/x
  3. Step 3: Cross multiply
    625,686,944x = 852,078,824 × 852,078,824
  4. Step 4: Simplify right side
    625,686,944x = 726,038,322,309,222,912
  5. Step 5: Solve for x
    x = 726,038,322,309,222,912/625,686,944
  6. Step 6: Final answer
    x = 1,160,385,923.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.