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Finding the Third Proportional to 49,850,964 and 103,664,772

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Solution

The third proportional to 49,850,964 and 103,664,772 is: 215,570,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,850,964 : 103,664,772 = 103,664,772 : x
  2. Step 2: Convert to fraction form
    49,850,964/103,664,772 = 103,664,772/x
  3. Step 3: Cross multiply
    49,850,964x = 103,664,772 × 103,664,772
  4. Step 4: Simplify right side
    49,850,964x = 10,746,384,953,811,984
  5. Step 5: Solve for x
    x = 10,746,384,953,811,984/49,850,964
  6. Step 6: Final answer
    x = 215,570,253.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.