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Finding the Third Proportional to 6,519,294 and 14,160,501

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Solution

The third proportional to 6,519,294 and 14,160,501 is: 30,757,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,294 : 14,160,501 = 14,160,501 : x
  2. Step 2: Convert to fraction form
    6,519,294/14,160,501 = 14,160,501/x
  3. Step 3: Cross multiply
    6,519,294x = 14,160,501 × 14,160,501
  4. Step 4: Simplify right side
    6,519,294x = 200,519,788,571,001
  5. Step 5: Solve for x
    x = 200,519,788,571,001/6,519,294
  6. Step 6: Final answer
    x = 30,757,899.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.