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Finding the Third Proportional to 2,314,008 and 5,026,036.50

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Solution

The third proportional to 2,314,008 and 5,026,036.50 is: 10,916,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,008 : 5,026,036.50 = 5,026,036.50 : x
  2. Step 2: Convert to fraction form
    2,314,008/5,026,036.50 = 5,026,036.50/x
  3. Step 3: Cross multiply
    2,314,008x = 5,026,036.50 × 5,026,036.50
  4. Step 4: Simplify right side
    2,314,008x = 25,261,042,899,332.25
  5. Step 5: Solve for x
    x = 25,261,042,899,332.25/2,314,008
  6. Step 6: Final answer
    x = 10,916,575.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.