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Finding the Third Proportional to 52,742,408 and 109,527,120

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Solution

The third proportional to 52,742,408 and 109,527,120 is: 227,448,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,742,408 : 109,527,120 = 109,527,120 : x
  2. Step 2: Convert to fraction form
    52,742,408/109,527,120 = 109,527,120/x
  3. Step 3: Cross multiply
    52,742,408x = 109,527,120 × 109,527,120
  4. Step 4: Simplify right side
    52,742,408x = 11,996,190,015,494,400
  5. Step 5: Solve for x
    x = 11,996,190,015,494,400/52,742,408
  6. Step 6: Final answer
    x = 227,448,659.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.