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Finding the Third Proportional to 53,911,204 and 77,093,648

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Solution

The third proportional to 53,911,204 and 77,093,648 is: 110,244,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,911,204 : 77,093,648 = 77,093,648 : x
  2. Step 2: Convert to fraction form
    53,911,204/77,093,648 = 77,093,648/x
  3. Step 3: Cross multiply
    53,911,204x = 77,093,648 × 77,093,648
  4. Step 4: Simplify right side
    53,911,204x = 5,943,430,561,947,904
  5. Step 5: Solve for x
    x = 5,943,430,561,947,904/53,911,204
  6. Step 6: Final answer
    x = 110,244,812.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.