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Finding the Third Proportional to 9,007,349,701 and 18,760,229,463

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Solution

The third proportional to 9,007,349,701 and 18,760,229,463 is: 39,073,225,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007,349,701 : 18,760,229,463 = 18,760,229,463 : x
  2. Step 2: Convert to fraction form
    9,007,349,701/18,760,229,463 = 18,760,229,463/x
  3. Step 3: Cross multiply
    9,007,349,701x = 18,760,229,463 × 18,760,229,463
  4. Step 4: Simplify right side
    9,007,349,701x = 351,946,209,504,413,286,400
  5. Step 5: Solve for x
    x = 351,946,209,504,413,286,400/9,007,349,701
  6. Step 6: Final answer
    x = 39,073,225,886.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.