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Finding the Third Proportional to 13,865,743.69 and 21,638,021.63

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Solution

The third proportional to 13,865,743.69 and 21,638,021.63 is: 33,766,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865,743.69 : 21,638,021.63 = 21,638,021.63 : x
  2. Step 2: Convert to fraction form
    13,865,743.69/21,638,021.63 = 21,638,021.63/x
  3. Step 3: Cross multiply
    13,865,743.69x = 21,638,021.63 × 21,638,021.63
  4. Step 4: Simplify right side
    13,865,743.69x = 468,203,979,843,967.62
  5. Step 5: Solve for x
    x = 468,203,979,843,967.62/13,865,743.69
  6. Step 6: Final answer
    x = 33,766,957.65

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