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Finding the Third Proportional to 23,734,786 and 48,727,826

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Solution

The third proportional to 23,734,786 and 48,727,826 is: 100,038,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734,786 : 48,727,826 = 48,727,826 : x
  2. Step 2: Convert to fraction form
    23,734,786/48,727,826 = 48,727,826/x
  3. Step 3: Cross multiply
    23,734,786x = 48,727,826 × 48,727,826
  4. Step 4: Simplify right side
    23,734,786x = 2,374,401,026,686,276
  5. Step 5: Solve for x
    x = 2,374,401,026,686,276/23,734,786
  6. Step 6: Final answer
    x = 100,038,863.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.