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Finding the Third Proportional to 14,653,629 and 21,540,937.50

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Solution

The third proportional to 14,653,629 and 21,540,937.50 is: 31,665,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653,629 : 21,540,937.50 = 21,540,937.50 : x
  2. Step 2: Convert to fraction form
    14,653,629/21,540,937.50 = 21,540,937.50/x
  3. Step 3: Cross multiply
    14,653,629x = 21,540,937.50 × 21,540,937.50
  4. Step 4: Simplify right side
    14,653,629x = 464,011,988,378,906.25
  5. Step 5: Solve for x
    x = 464,011,988,378,906.25/14,653,629
  6. Step 6: Final answer
    x = 31,665,329.34

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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.