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Finding the Third Proportional to 6,346,233.56 and 9,668,111.91

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Solution

The third proportional to 6,346,233.56 and 9,668,111.91 is: 14,728,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,233.56 : 9,668,111.91 = 9,668,111.91 : x
  2. Step 2: Convert to fraction form
    6,346,233.56/9,668,111.91 = 9,668,111.91/x
  3. Step 3: Cross multiply
    6,346,233.56x = 9,668,111.91 × 9,668,111.91
  4. Step 4: Simplify right side
    6,346,233.56x = 93,472,387,831,773.02
  5. Step 5: Solve for x
    x = 93,472,387,831,773.02/6,346,233.56
  6. Step 6: Final answer
    x = 14,728,797.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.