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Finding the Third Proportional to 10,068,981,728 and 15,795,261,192

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Solution

The third proportional to 10,068,981,728 and 15,795,261,192 is: 24,778,103,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068,981,728 : 15,795,261,192 = 15,795,261,192 : x
  2. Step 2: Convert to fraction form
    10,068,981,728/15,795,261,192 = 15,795,261,192/x
  3. Step 3: Cross multiply
    10,068,981,728x = 15,795,261,192 × 15,795,261,192
  4. Step 4: Simplify right side
    10,068,981,728x = 249,490,276,123,501,264,896
  5. Step 5: Solve for x
    x = 249,490,276,123,501,264,896/10,068,981,728
  6. Step 6: Final answer
    x = 24,778,103,969.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.