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Finding the Third Proportional to 32,507,408.25 and 47,683,452.66

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Solution

The third proportional to 32,507,408.25 and 47,683,452.66 is: 69,944,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507,408.25 : 47,683,452.66 = 47,683,452.66 : x
  2. Step 2: Convert to fraction form
    32,507,408.25/47,683,452.66 = 47,683,452.66/x
  3. Step 3: Cross multiply
    32,507,408.25x = 47,683,452.66 × 47,683,452.66
  4. Step 4: Simplify right side
    32,507,408.25x = 2,273,711,657,220,835
  5. Step 5: Solve for x
    x = 2,273,711,657,220,835/32,507,408.25
  6. Step 6: Final answer
    x = 69,944,415.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.