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Finding the Third Proportional to 39,112,098 and 82,583,480

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Solution

The third proportional to 39,112,098 and 82,583,480 is: 174,371,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,112,098 : 82,583,480 = 82,583,480 : x
  2. Step 2: Convert to fraction form
    39,112,098/82,583,480 = 82,583,480/x
  3. Step 3: Cross multiply
    39,112,098x = 82,583,480 × 82,583,480
  4. Step 4: Simplify right side
    39,112,098x = 6,820,031,168,910,400
  5. Step 5: Solve for x
    x = 6,820,031,168,910,400/39,112,098
  6. Step 6: Final answer
    x = 174,371,397.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.