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Finding the Third Proportional to 14,936,547 and 32,764,614

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Solution

The third proportional to 14,936,547 and 32,764,614 is: 71,872,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,936,547 : 32,764,614 = 32,764,614 : x
  2. Step 2: Convert to fraction form
    14,936,547/32,764,614 = 32,764,614/x
  3. Step 3: Cross multiply
    14,936,547x = 32,764,614 × 32,764,614
  4. Step 4: Simplify right side
    14,936,547x = 1,073,519,930,568,996
  5. Step 5: Solve for x
    x = 1,073,519,930,568,996/14,936,547
  6. Step 6: Final answer
    x = 71,872,028.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.