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Finding the Third Proportional to 39,781,046 and 85,683,262

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Solution

The third proportional to 39,781,046 and 85,683,262 is: 184,550,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781,046 : 85,683,262 = 85,683,262 : x
  2. Step 2: Convert to fraction form
    39,781,046/85,683,262 = 85,683,262/x
  3. Step 3: Cross multiply
    39,781,046x = 85,683,262 × 85,683,262
  4. Step 4: Simplify right side
    39,781,046x = 7,341,621,386,960,644
  5. Step 5: Solve for x
    x = 7,341,621,386,960,644/39,781,046
  6. Step 6: Final answer
    x = 184,550,737.73

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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.