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Finding the Third Proportional to 8,031,614 and 12,065,056

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Solution

The third proportional to 8,031,614 and 12,065,056 is: 18,124,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031,614 : 12,065,056 = 12,065,056 : x
  2. Step 2: Convert to fraction form
    8,031,614/12,065,056 = 12,065,056/x
  3. Step 3: Cross multiply
    8,031,614x = 12,065,056 × 12,065,056
  4. Step 4: Simplify right side
    8,031,614x = 145,565,576,283,136
  5. Step 5: Solve for x
    x = 145,565,576,283,136/8,031,614
  6. Step 6: Final answer
    x = 18,124,075.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.