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Finding the Third Proportional to 6,918,723,322 and 10,332,747,146

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Solution

The third proportional to 6,918,723,322 and 10,332,747,146 is: 15,431,411,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918,723,322 : 10,332,747,146 = 10,332,747,146 : x
  2. Step 2: Convert to fraction form
    6,918,723,322/10,332,747,146 = 10,332,747,146/x
  3. Step 3: Cross multiply
    6,918,723,322x = 10,332,747,146 × 10,332,747,146
  4. Step 4: Simplify right side
    6,918,723,322x = 106,765,663,583,171,149,824
  5. Step 5: Solve for x
    x = 106,765,663,583,171,149,824/6,918,723,322
  6. Step 6: Final answer
    x = 15,431,411,058.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.