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Finding the Third Proportional to 3,403,612,546.99 and 7,285,351,757.98

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Solution

The third proportional to 3,403,612,546.99 and 7,285,351,757.98 is: 15,594,122,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403,612,546.99 : 7,285,351,757.98 = 7,285,351,757.98 : x
  2. Step 2: Convert to fraction form
    3,403,612,546.99/7,285,351,757.98 = 7,285,351,757.98/x
  3. Step 3: Cross multiply
    3,403,612,546.99x = 7,285,351,757.98 × 7,285,351,757.98
  4. Step 4: Simplify right side
    3,403,612,546.99x = 53,076,350,237,473,128,448
  5. Step 5: Solve for x
    x = 53,076,350,237,473,128,448/3,403,612,546.99
  6. Step 6: Final answer
    x = 15,594,122,275.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.