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Finding the Third Proportional to 11,813,384.25 and 19,290,069

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Solution

The third proportional to 11,813,384.25 and 19,290,069 is: 31,498,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813,384.25 : 19,290,069 = 19,290,069 : x
  2. Step 2: Convert to fraction form
    11,813,384.25/19,290,069 = 19,290,069/x
  3. Step 3: Cross multiply
    11,813,384.25x = 19,290,069 × 19,290,069
  4. Step 4: Simplify right side
    11,813,384.25x = 372,106,762,024,761
  5. Step 5: Solve for x
    x = 372,106,762,024,761/11,813,384.25
  6. Step 6: Final answer
    x = 31,498,743.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.