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Finding the Third Proportional to 6,756,614 and 14,576,108

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Solution

The third proportional to 6,756,614 and 14,576,108 is: 31,445,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756,614 : 14,576,108 = 14,576,108 : x
  2. Step 2: Convert to fraction form
    6,756,614/14,576,108 = 14,576,108/x
  3. Step 3: Cross multiply
    6,756,614x = 14,576,108 × 14,576,108
  4. Step 4: Simplify right side
    6,756,614x = 212,462,924,427,664
  5. Step 5: Solve for x
    x = 212,462,924,427,664/6,756,614
  6. Step 6: Final answer
    x = 31,445,177.19

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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.