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Finding the Third Proportional to 7,713,197.63 and 16,024,262.34

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Solution

The third proportional to 7,713,197.63 and 16,024,262.34 is: 33,290,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713,197.63 : 16,024,262.34 = 16,024,262.34 : x
  2. Step 2: Convert to fraction form
    7,713,197.63/16,024,262.34 = 16,024,262.34/x
  3. Step 3: Cross multiply
    7,713,197.63x = 16,024,262.34 × 16,024,262.34
  4. Step 4: Simplify right side
    7,713,197.63x = 256,776,983,661,324.25
  5. Step 5: Solve for x
    x = 256,776,983,661,324.25/7,713,197.63
  6. Step 6: Final answer
    x = 33,290,600.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.