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Finding the Third Proportional to 35,285,396 and 75,977,216

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Solution

The third proportional to 35,285,396 and 75,977,216 is: 163,595,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285,396 : 75,977,216 = 75,977,216 : x
  2. Step 2: Convert to fraction form
    35,285,396/75,977,216 = 75,977,216/x
  3. Step 3: Cross multiply
    35,285,396x = 75,977,216 × 75,977,216
  4. Step 4: Simplify right side
    35,285,396x = 5,772,537,351,110,656
  5. Step 5: Solve for x
    x = 5,772,537,351,110,656/35,285,396
  6. Step 6: Final answer
    x = 163,595,651.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.