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Finding the Third Proportional to 713,448,401 and 1,567,197,226

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Solution

The third proportional to 713,448,401 and 1,567,197,226 is: 3,442,585,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448,401 : 1,567,197,226 = 1,567,197,226 : x
  2. Step 2: Convert to fraction form
    713,448,401/1,567,197,226 = 1,567,197,226/x
  3. Step 3: Cross multiply
    713,448,401x = 1,567,197,226 × 1,567,197,226
  4. Step 4: Simplify right side
    713,448,401x = 2,456,107,145,182,094,848
  5. Step 5: Solve for x
    x = 2,456,107,145,182,094,848/713,448,401
  6. Step 6: Final answer
    x = 3,442,585,534.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.