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Finding the Third Proportional to 13,413,744 and 29,055,897.50

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Solution

The third proportional to 13,413,744 and 29,055,897.50 is: 62,938,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413,744 : 29,055,897.50 = 29,055,897.50 : x
  2. Step 2: Convert to fraction form
    13,413,744/29,055,897.50 = 29,055,897.50/x
  3. Step 3: Cross multiply
    13,413,744x = 29,055,897.50 × 29,055,897.50
  4. Step 4: Simplify right side
    13,413,744x = 844,245,179,530,506.25
  5. Step 5: Solve for x
    x = 844,245,179,530,506.25/13,413,744
  6. Step 6: Final answer
    x = 62,938,817.05

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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.