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Finding the Third Proportional to 3,537,045.75 and 5,005,936.50

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Solution

The third proportional to 3,537,045.75 and 5,005,936.50 is: 7,084,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537,045.75 : 5,005,936.50 = 5,005,936.50 : x
  2. Step 2: Convert to fraction form
    3,537,045.75/5,005,936.50 = 5,005,936.50/x
  3. Step 3: Cross multiply
    3,537,045.75x = 5,005,936.50 × 5,005,936.50
  4. Step 4: Simplify right side
    3,537,045.75x = 25,059,400,242,032.25
  5. Step 5: Solve for x
    x = 25,059,400,242,032.25/3,537,045.75
  6. Step 6: Final answer
    x = 7,084,839.16

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.