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Finding the Third Proportional to 582,628,646.25 and 1,248,361,257.38

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Solution

The third proportional to 582,628,646.25 and 1,248,361,257.38 is: 2,674,784,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,628,646.25 : 1,248,361,257.38 = 1,248,361,257.38 : x
  2. Step 2: Convert to fraction form
    582,628,646.25/1,248,361,257.38 = 1,248,361,257.38/x
  3. Step 3: Cross multiply
    582,628,646.25x = 1,248,361,257.38 × 1,248,361,257.38
  4. Step 4: Simplify right side
    582,628,646.25x = 1,558,405,828,914,891,008
  5. Step 5: Solve for x
    x = 1,558,405,828,914,891,008/582,628,646.25
  6. Step 6: Final answer
    x = 2,674,784,082.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.