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Finding the Third Proportional to 14,650,200 and 21,551,841.50

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Solution

The third proportional to 14,650,200 and 21,551,841.50 is: 31,704,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650,200 : 21,551,841.50 = 21,551,841.50 : x
  2. Step 2: Convert to fraction form
    14,650,200/21,551,841.50 = 21,551,841.50/x
  3. Step 3: Cross multiply
    14,650,200x = 21,551,841.50 × 21,551,841.50
  4. Step 4: Simplify right side
    14,650,200x = 464,481,872,041,122.25
  5. Step 5: Solve for x
    x = 464,481,872,041,122.25/14,650,200
  6. Step 6: Final answer
    x = 31,704,814.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.