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Finding the Third Proportional to 12,326,828.25 and 19,236,347.25

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Solution

The third proportional to 12,326,828.25 and 19,236,347.25 is: 30,018,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326,828.25 : 19,236,347.25 = 19,236,347.25 : x
  2. Step 2: Convert to fraction form
    12,326,828.25/19,236,347.25 = 19,236,347.25/x
  3. Step 3: Cross multiply
    12,326,828.25x = 19,236,347.25 × 19,236,347.25
  4. Step 4: Simplify right side
    12,326,828.25x = 370,037,055,522,582.56
  5. Step 5: Solve for x
    x = 370,037,055,522,582.56/12,326,828.25
  6. Step 6: Final answer
    x = 30,018,837.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.