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Finding the Third Proportional to 39,781,045.50 and 85,683,261

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Solution

The third proportional to 39,781,045.50 and 85,683,261 is: 184,550,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781,045.50 : 85,683,261 = 85,683,261 : x
  2. Step 2: Convert to fraction form
    39,781,045.50/85,683,261 = 85,683,261/x
  3. Step 3: Cross multiply
    39,781,045.50x = 85,683,261 × 85,683,261
  4. Step 4: Simplify right side
    39,781,045.50x = 7,341,621,215,594,121
  5. Step 5: Solve for x
    x = 7,341,621,215,594,121/39,781,045.50
  6. Step 6: Final answer
    x = 184,550,735.74

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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.