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Finding the Third Proportional to 31,299,058.25 and 66,905,504.50

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Solution

The third proportional to 31,299,058.25 and 66,905,504.50 is: 143,018,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299,058.25 : 66,905,504.50 = 66,905,504.50 : x
  2. Step 2: Convert to fraction form
    31,299,058.25/66,905,504.50 = 66,905,504.50/x
  3. Step 3: Cross multiply
    31,299,058.25x = 66,905,504.50 × 66,905,504.50
  4. Step 4: Simplify right side
    31,299,058.25x = 4,476,346,532,399,520
  5. Step 5: Solve for x
    x = 4,476,346,532,399,520/31,299,058.25
  6. Step 6: Final answer
    x = 143,018,569.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.