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Finding the Third Proportional to 34,742,787 and 75,204,486

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Solution

The third proportional to 34,742,787 and 75,204,486 is: 162,788,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742,787 : 75,204,486 = 75,204,486 : x
  2. Step 2: Convert to fraction form
    34,742,787/75,204,486 = 75,204,486/x
  3. Step 3: Cross multiply
    34,742,787x = 75,204,486 × 75,204,486
  4. Step 4: Simplify right side
    34,742,787x = 5,655,714,714,524,196
  5. Step 5: Solve for x
    x = 5,655,714,714,524,196/34,742,787
  6. Step 6: Final answer
    x = 162,788,169.95

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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.