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Finding the Third Proportional to 1,163,356,580 and 2,545,623,400

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Solution

The third proportional to 1,163,356,580 and 2,545,623,400 is: 5,570,259,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,356,580 : 2,545,623,400 = 2,545,623,400 : x
  2. Step 2: Convert to fraction form
    1,163,356,580/2,545,623,400 = 2,545,623,400/x
  3. Step 3: Cross multiply
    1,163,356,580x = 2,545,623,400 × 2,545,623,400
  4. Step 4: Simplify right side
    1,163,356,580x = 6,480,198,494,627,560,448
  5. Step 5: Solve for x
    x = 6,480,198,494,627,560,448/1,163,356,580
  6. Step 6: Final answer
    x = 5,570,259,889.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.