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Finding the Third Proportional to 12,584,858,421.80 and 27,264,393,614.53

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Solution

The third proportional to 12,584,858,421.80 and 27,264,393,614.53 is: 59,066,787,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,858,421.80 : 27,264,393,614.53 = 27,264,393,614.53 : x
  2. Step 2: Convert to fraction form
    12,584,858,421.80/27,264,393,614.53 = 27,264,393,614.53/x
  3. Step 3: Cross multiply
    12,584,858,421.80x = 27,264,393,614.53 × 27,264,393,614.53
  4. Step 4: Simplify right side
    12,584,858,421.80x = 743,347,159,168,024,182,784
  5. Step 5: Solve for x
    x = 743,347,159,168,024,182,784/12,584,858,421.80
  6. Step 6: Final answer
    x = 59,066,787,583.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.