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Finding the Third Proportional to 7,809,842,380 and 11,897,487,944

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Solution

The third proportional to 7,809,842,380 and 11,897,487,944 is: 18,124,593,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809,842,380 : 11,897,487,944 = 11,897,487,944 : x
  2. Step 2: Convert to fraction form
    7,809,842,380/11,897,487,944 = 11,897,487,944/x
  3. Step 3: Cross multiply
    7,809,842,380x = 11,897,487,944 × 11,897,487,944
  4. Step 4: Simplify right side
    7,809,842,380x = 141,550,219,377,625,350,144
  5. Step 5: Solve for x
    x = 141,550,219,377,625,350,144/7,809,842,380
  6. Step 6: Final answer
    x = 18,124,593,620.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.