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Finding the Third Proportional to 51,317,685 and 111,669,867

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Solution

The third proportional to 51,317,685 and 111,669,867 is: 242,999,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,317,685 : 111,669,867 = 111,669,867 : x
  2. Step 2: Convert to fraction form
    51,317,685/111,669,867 = 111,669,867/x
  3. Step 3: Cross multiply
    51,317,685x = 111,669,867 × 111,669,867
  4. Step 4: Simplify right side
    51,317,685x = 12,470,159,195,797,688
  5. Step 5: Solve for x
    x = 12,470,159,195,797,688/51,317,685
  6. Step 6: Final answer
    x = 242,999,254.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.