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Finding the Third Proportional to 7,856,757 and 17,174,430

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Solution

The third proportional to 7,856,757 and 17,174,430 is: 37,542,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856,757 : 17,174,430 = 17,174,430 : x
  2. Step 2: Convert to fraction form
    7,856,757/17,174,430 = 17,174,430/x
  3. Step 3: Cross multiply
    7,856,757x = 17,174,430 × 17,174,430
  4. Step 4: Simplify right side
    7,856,757x = 294,961,045,824,900
  5. Step 5: Solve for x
    x = 294,961,045,824,900/7,856,757
  6. Step 6: Final answer
    x = 37,542,340.41

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