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Finding the Third Proportional to 34,742,789 and 75,204,489

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Solution

The third proportional to 34,742,789 and 75,204,489 is: 162,788,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742,789 : 75,204,489 = 75,204,489 : x
  2. Step 2: Convert to fraction form
    34,742,789/75,204,489 = 75,204,489/x
  3. Step 3: Cross multiply
    34,742,789x = 75,204,489 × 75,204,489
  4. Step 4: Simplify right side
    34,742,789x = 5,655,715,165,751,121
  5. Step 5: Solve for x
    x = 5,655,715,165,751,121/34,742,789
  6. Step 6: Final answer
    x = 162,788,173.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.