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Finding the Third Proportional to 51,361,535 and 113,797,310

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Solution

The third proportional to 51,361,535 and 113,797,310 is: 252,130,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,361,535 : 113,797,310 = 113,797,310 : x
  2. Step 2: Convert to fraction form
    51,361,535/113,797,310 = 113,797,310/x
  3. Step 3: Cross multiply
    51,361,535x = 113,797,310 × 113,797,310
  4. Step 4: Simplify right side
    51,361,535x = 12,949,827,763,236,100
  5. Step 5: Solve for x
    x = 12,949,827,763,236,100/51,361,535
  6. Step 6: Final answer
    x = 252,130,855.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.