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Finding the Third Proportional to 35,536,474 and 53,742,114

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Solution

The third proportional to 35,536,474 and 53,742,114 is: 81,274,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,536,474 : 53,742,114 = 53,742,114 : x
  2. Step 2: Convert to fraction form
    35,536,474/53,742,114 = 53,742,114/x
  3. Step 3: Cross multiply
    35,536,474x = 53,742,114 × 53,742,114
  4. Step 4: Simplify right side
    35,536,474x = 2,888,214,817,188,996
  5. Step 5: Solve for x
    x = 2,888,214,817,188,996/35,536,474
  6. Step 6: Final answer
    x = 81,274,659.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.