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Finding the Third Proportional to 14,591,013 and 22,381,054.50

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Solution

The third proportional to 14,591,013 and 22,381,054.50 is: 34,330,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591,013 : 22,381,054.50 = 22,381,054.50 : x
  2. Step 2: Convert to fraction form
    14,591,013/22,381,054.50 = 22,381,054.50/x
  3. Step 3: Cross multiply
    14,591,013x = 22,381,054.50 × 22,381,054.50
  4. Step 4: Simplify right side
    14,591,013x = 500,911,600,531,970.25
  5. Step 5: Solve for x
    x = 500,911,600,531,970.25/14,591,013
  6. Step 6: Final answer
    x = 34,330,145.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.