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Finding the Third Proportional to 13,773,816 and 30,027,694.50

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Solution

The third proportional to 13,773,816 and 30,027,694.50 is: 65,462,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773,816 : 30,027,694.50 = 30,027,694.50 : x
  2. Step 2: Convert to fraction form
    13,773,816/30,027,694.50 = 30,027,694.50/x
  3. Step 3: Cross multiply
    13,773,816x = 30,027,694.50 × 30,027,694.50
  4. Step 4: Simplify right side
    13,773,816x = 901,662,436,985,330.25
  5. Step 5: Solve for x
    x = 901,662,436,985,330.25/13,773,816
  6. Step 6: Final answer
    x = 65,462,064.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.