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Finding the Third Proportional to 6,314,051 and 13,613,658

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Solution

The third proportional to 6,314,051 and 13,613,658 is: 29,352,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,051 : 13,613,658 = 13,613,658 : x
  2. Step 2: Convert to fraction form
    6,314,051/13,613,658 = 13,613,658/x
  3. Step 3: Cross multiply
    6,314,051x = 13,613,658 × 13,613,658
  4. Step 4: Simplify right side
    6,314,051x = 185,331,684,140,964
  5. Step 5: Solve for x
    x = 185,331,684,140,964/6,314,051
  6. Step 6: Final answer
    x = 29,352,262.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.