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Finding the Third Proportional to 13,548,058.50 and 21,814,438.50

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Solution

The third proportional to 13,548,058.50 and 21,814,438.50 is: 35,124,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548,058.50 : 21,814,438.50 = 21,814,438.50 : x
  2. Step 2: Convert to fraction form
    13,548,058.50/21,814,438.50 = 21,814,438.50/x
  3. Step 3: Cross multiply
    13,548,058.50x = 21,814,438.50 × 21,814,438.50
  4. Step 4: Simplify right side
    13,548,058.50x = 475,869,727,070,282.25
  5. Step 5: Solve for x
    x = 475,869,727,070,282.25/13,548,058.50
  6. Step 6: Final answer
    x = 35,124,569.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.