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Finding the Third Proportional to 8,212,788 and 19,012,073.50

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Solution

The third proportional to 8,212,788 and 19,012,073.50 is: 44,011,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212,788 : 19,012,073.50 = 19,012,073.50 : x
  2. Step 2: Convert to fraction form
    8,212,788/19,012,073.50 = 19,012,073.50/x
  3. Step 3: Cross multiply
    8,212,788x = 19,012,073.50 × 19,012,073.50
  4. Step 4: Simplify right side
    8,212,788x = 361,458,938,769,402.25
  5. Step 5: Solve for x
    x = 361,458,938,769,402.25/8,212,788
  6. Step 6: Final answer
    x = 44,011,721.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.