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Finding the Third Proportional to 29,918,963.25 and 65,512,985.63

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Solution

The third proportional to 29,918,963.25 and 65,512,985.63 is: 143,452,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,918,963.25 : 65,512,985.63 = 65,512,985.63 : x
  2. Step 2: Convert to fraction form
    29,918,963.25/65,512,985.63 = 65,512,985.63/x
  3. Step 3: Cross multiply
    29,918,963.25x = 65,512,985.63 × 65,512,985.63
  4. Step 4: Simplify right side
    29,918,963.25x = 4,291,951,285,501,456.50
  5. Step 5: Solve for x
    x = 4,291,951,285,501,456.50/29,918,963.25
  6. Step 6: Final answer
    x = 143,452,540.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.