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Finding the Third Proportional to 61,471,410 and 93,465,832

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Solution

The third proportional to 61,471,410 and 93,465,832 is: 142,112,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471,410 : 93,465,832 = 93,465,832 : x
  2. Step 2: Convert to fraction form
    61,471,410/93,465,832 = 93,465,832/x
  3. Step 3: Cross multiply
    61,471,410x = 93,465,832 × 93,465,832
  4. Step 4: Simplify right side
    61,471,410x = 8,735,861,751,452,224
  5. Step 5: Solve for x
    x = 8,735,861,751,452,224/61,471,410
  6. Step 6: Final answer
    x = 142,112,597.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.