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Finding the Third Proportional to 13,453,452 and 31,584,127.50

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Solution

The third proportional to 13,453,452 and 31,584,127.50 is: 74,148,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453,452 : 31,584,127.50 = 31,584,127.50 : x
  2. Step 2: Convert to fraction form
    13,453,452/31,584,127.50 = 31,584,127.50/x
  3. Step 3: Cross multiply
    13,453,452x = 31,584,127.50 × 31,584,127.50
  4. Step 4: Simplify right side
    13,453,452x = 997,557,109,936,256.25
  5. Step 5: Solve for x
    x = 997,557,109,936,256.25/13,453,452
  6. Step 6: Final answer
    x = 74,148,784.26

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.