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Finding the Third Proportional to 3,143,190,248 and 5,238,334,707

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Solution

The third proportional to 3,143,190,248 and 5,238,334,707 is: 8,730,031,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,190,248 : 5,238,334,707 = 5,238,334,707 : x
  2. Step 2: Convert to fraction form
    3,143,190,248/5,238,334,707 = 5,238,334,707/x
  3. Step 3: Cross multiply
    3,143,190,248x = 5,238,334,707 × 5,238,334,707
  4. Step 4: Simplify right side
    3,143,190,248x = 27,440,150,502,560,776,192
  5. Step 5: Solve for x
    x = 27,440,150,502,560,776,192/3,143,190,248
  6. Step 6: Final answer
    x = 8,730,031,699.49

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.