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Finding the Third Proportional to 21,299,251.50 and 46,652,814

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Solution

The third proportional to 21,299,251.50 and 46,652,814 is: 102,185,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299,251.50 : 46,652,814 = 46,652,814 : x
  2. Step 2: Convert to fraction form
    21,299,251.50/46,652,814 = 46,652,814/x
  3. Step 3: Cross multiply
    21,299,251.50x = 46,652,814 × 46,652,814
  4. Step 4: Simplify right side
    21,299,251.50x = 2,176,485,054,118,596
  5. Step 5: Solve for x
    x = 2,176,485,054,118,596/21,299,251.50
  6. Step 6: Final answer
    x = 102,185,987.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.