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Finding the Third Proportional to 51,780,017.25 and 111,630,006

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Solution

The third proportional to 51,780,017.25 and 111,630,006 is: 240,657,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,780,017.25 : 111,630,006 = 111,630,006 : x
  2. Step 2: Convert to fraction form
    51,780,017.25/111,630,006 = 111,630,006/x
  3. Step 3: Cross multiply
    51,780,017.25x = 111,630,006 × 111,630,006
  4. Step 4: Simplify right side
    51,780,017.25x = 12,461,258,239,560,036
  5. Step 5: Solve for x
    x = 12,461,258,239,560,036/51,780,017.25
  6. Step 6: Final answer
    x = 240,657,668.76

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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.