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Finding the Third Proportional to 713,448,406 and 1,567,197,236

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Solution

The third proportional to 713,448,406 and 1,567,197,236 is: 3,442,585,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448,406 : 1,567,197,236 = 1,567,197,236 : x
  2. Step 2: Convert to fraction form
    713,448,406/1,567,197,236 = 1,567,197,236/x
  3. Step 3: Cross multiply
    713,448,406x = 1,567,197,236 × 1,567,197,236
  4. Step 4: Simplify right side
    713,448,406x = 2,456,107,176,526,039,552
  5. Step 5: Solve for x
    x = 2,456,107,176,526,039,552/713,448,406
  6. Step 6: Final answer
    x = 3,442,585,554.71

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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.