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Finding the Third Proportional to 7,835,932 and 11,872,407.50

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Solution

The third proportional to 7,835,932 and 11,872,407.50 is: 17,988,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835,932 : 11,872,407.50 = 11,872,407.50 : x
  2. Step 2: Convert to fraction form
    7,835,932/11,872,407.50 = 11,872,407.50/x
  3. Step 3: Cross multiply
    7,835,932x = 11,872,407.50 × 11,872,407.50
  4. Step 4: Simplify right side
    7,835,932x = 140,954,059,846,056.25
  5. Step 5: Solve for x
    x = 140,954,059,846,056.25/7,835,932
  6. Step 6: Final answer
    x = 17,988,167.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.