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Finding the Third Proportional to 2,504,862,297 and 4,946,497,883

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Solution

The third proportional to 2,504,862,297 and 4,946,497,883 is: 9,768,138,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504,862,297 : 4,946,497,883 = 4,946,497,883 : x
  2. Step 2: Convert to fraction form
    2,504,862,297/4,946,497,883 = 4,946,497,883/x
  3. Step 3: Cross multiply
    2,504,862,297x = 4,946,497,883 × 4,946,497,883
  4. Step 4: Simplify right side
    2,504,862,297x = 24,467,841,306,523,480,064
  5. Step 5: Solve for x
    x = 24,467,841,306,523,480,064/2,504,862,297
  6. Step 6: Final answer
    x = 9,768,138,286.81

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.