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Finding the Third Proportional to 12,338,575.50 and 19,703,424

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Solution

The third proportional to 12,338,575.50 and 19,703,424 is: 31,464,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338,575.50 : 19,703,424 = 19,703,424 : x
  2. Step 2: Convert to fraction form
    12,338,575.50/19,703,424 = 19,703,424/x
  3. Step 3: Cross multiply
    12,338,575.50x = 19,703,424 × 19,703,424
  4. Step 4: Simplify right side
    12,338,575.50x = 388,224,917,323,776
  5. Step 5: Solve for x
    x = 388,224,917,323,776/12,338,575.50
  6. Step 6: Final answer
    x = 31,464,322.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.