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Finding the Third Proportional to 47,941,742 and 105,655,648

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Solution

The third proportional to 47,941,742 and 105,655,648 is: 232,847,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,941,742 : 105,655,648 = 105,655,648 : x
  2. Step 2: Convert to fraction form
    47,941,742/105,655,648 = 105,655,648/x
  3. Step 3: Cross multiply
    47,941,742x = 105,655,648 × 105,655,648
  4. Step 4: Simplify right side
    47,941,742x = 11,163,115,954,299,904
  5. Step 5: Solve for x
    x = 11,163,115,954,299,904/47,941,742
  6. Step 6: Final answer
    x = 232,847,524.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.