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Finding the Third Proportional to 37,859,840 and 61,815,168

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Solution

The third proportional to 37,859,840 and 61,815,168 is: 100,927,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,859,840 : 61,815,168 = 61,815,168 : x
  2. Step 2: Convert to fraction form
    37,859,840/61,815,168 = 61,815,168/x
  3. Step 3: Cross multiply
    37,859,840x = 61,815,168 × 61,815,168
  4. Step 4: Simplify right side
    37,859,840x = 3,821,114,994,868,224
  5. Step 5: Solve for x
    x = 3,821,114,994,868,224/37,859,840
  6. Step 6: Final answer
    x = 100,927,922.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.