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Finding the Third Proportional to 6,127,102.62 and 14,443,016.34

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Solution

The third proportional to 6,127,102.62 and 14,443,016.34 is: 34,045,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127,102.62 : 14,443,016.34 = 14,443,016.34 : x
  2. Step 2: Convert to fraction form
    6,127,102.62/14,443,016.34 = 14,443,016.34/x
  3. Step 3: Cross multiply
    6,127,102.62x = 14,443,016.34 × 14,443,016.34
  4. Step 4: Simplify right side
    6,127,102.62x = 208,600,721,105,829.62
  5. Step 5: Solve for x
    x = 208,600,721,105,829.62/6,127,102.62
  6. Step 6: Final answer
    x = 34,045,573.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.