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Finding the Third Proportional to 17,539,048.50 and 38,265,283.50

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Solution

The third proportional to 17,539,048.50 and 38,265,283.50 is: 83,484,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,539,048.50 : 38,265,283.50 = 38,265,283.50 : x
  2. Step 2: Convert to fraction form
    17,539,048.50/38,265,283.50 = 38,265,283.50/x
  3. Step 3: Cross multiply
    17,539,048.50x = 38,265,283.50 × 38,265,283.50
  4. Step 4: Simplify right side
    17,539,048.50x = 1,464,231,921,335,372.25
  5. Step 5: Solve for x
    x = 1,464,231,921,335,372.25/17,539,048.50
  6. Step 6: Final answer
    x = 83,484,113.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.