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Finding the Third Proportional to 29,667,141 and 61,608,033

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Solution

The third proportional to 29,667,141 and 61,608,033 is: 127,937,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667,141 : 61,608,033 = 61,608,033 : x
  2. Step 2: Convert to fraction form
    29,667,141/61,608,033 = 61,608,033/x
  3. Step 3: Cross multiply
    29,667,141x = 61,608,033 × 61,608,033
  4. Step 4: Simplify right side
    29,667,141x = 3,795,549,730,129,089
  5. Step 5: Solve for x
    x = 3,795,549,730,129,089/29,667,141
  6. Step 6: Final answer
    x = 127,937,832.98

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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.