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Finding the Third Proportional to 582,625,414.25 and 1,248,354,914.50

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Solution

The third proportional to 582,625,414.25 and 1,248,354,914.50 is: 2,674,771,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,625,414.25 : 1,248,354,914.50 = 1,248,354,914.50 : x
  2. Step 2: Convert to fraction form
    582,625,414.25/1,248,354,914.50 = 1,248,354,914.50/x
  3. Step 3: Cross multiply
    582,625,414.25x = 1,248,354,914.50 × 1,248,354,914.50
  4. Step 4: Simplify right side
    582,625,414.25x = 1,558,389,992,556,302,336
  5. Step 5: Solve for x
    x = 1,558,389,992,556,302,336/582,625,414.25
  6. Step 6: Final answer
    x = 2,674,771,739.17

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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.