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Finding the Third Proportional to 49,313,706 and 78,536,997

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Solution

The third proportional to 49,313,706 and 78,536,997 is: 125,078,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313,706 : 78,536,997 = 78,536,997 : x
  2. Step 2: Convert to fraction form
    49,313,706/78,536,997 = 78,536,997/x
  3. Step 3: Cross multiply
    49,313,706x = 78,536,997 × 78,536,997
  4. Step 4: Simplify right side
    49,313,706x = 6,168,059,897,778,009
  5. Step 5: Solve for x
    x = 6,168,059,897,778,009/49,313,706
  6. Step 6: Final answer
    x = 125,078,003.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.