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Finding the Third Proportional to 4,031,760,651 and 5,605,840,914

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Solution

The third proportional to 4,031,760,651 and 5,605,840,914 is: 7,794,473,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031,760,651 : 5,605,840,914 = 5,605,840,914 : x
  2. Step 2: Convert to fraction form
    4,031,760,651/5,605,840,914 = 5,605,840,914/x
  3. Step 3: Cross multiply
    4,031,760,651x = 5,605,840,914 × 5,605,840,914
  4. Step 4: Simplify right side
    4,031,760,651x = 31,425,452,353,076,355,072
  5. Step 5: Solve for x
    x = 31,425,452,353,076,355,072/4,031,760,651
  6. Step 6: Final answer
    x = 7,794,473,698.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.