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Finding the Third Proportional to 39,781,050 and 85,683,268.50

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Solution

The third proportional to 39,781,050 and 85,683,268.50 is: 184,550,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781,050 : 85,683,268.50 = 85,683,268.50 : x
  2. Step 2: Convert to fraction form
    39,781,050/85,683,268.50 = 85,683,268.50/x
  3. Step 3: Cross multiply
    39,781,050x = 85,683,268.50 × 85,683,268.50
  4. Step 4: Simplify right side
    39,781,050x = 7,341,622,500,843,092
  5. Step 5: Solve for x
    x = 7,341,622,500,843,092/39,781,050
  6. Step 6: Final answer
    x = 184,550,747.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.