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Finding the Third Proportional to 713,448,396 and 1,567,197,216

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Solution

The third proportional to 713,448,396 and 1,567,197,216 is: 3,442,585,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448,396 : 1,567,197,216 = 1,567,197,216 : x
  2. Step 2: Convert to fraction form
    713,448,396/1,567,197,216 = 1,567,197,216/x
  3. Step 3: Cross multiply
    713,448,396x = 1,567,197,216 × 1,567,197,216
  4. Step 4: Simplify right side
    713,448,396x = 2,456,107,113,838,150,656
  5. Step 5: Solve for x
    x = 2,456,107,113,838,150,656/713,448,396
  6. Step 6: Final answer
    x = 3,442,585,515.10

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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.