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Finding the Third Proportional to 23,502,216 and 51,544,513.50

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Solution

The third proportional to 23,502,216 and 51,544,513.50 is: 113,046,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502,216 : 51,544,513.50 = 51,544,513.50 : x
  2. Step 2: Convert to fraction form
    23,502,216/51,544,513.50 = 51,544,513.50/x
  3. Step 3: Cross multiply
    23,502,216x = 51,544,513.50 × 51,544,513.50
  4. Step 4: Simplify right side
    23,502,216x = 2,656,836,871,951,682
  5. Step 5: Solve for x
    x = 2,656,836,871,951,682/23,502,216
  6. Step 6: Final answer
    x = 113,046,228.15

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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.