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Finding the Third Proportional to 8,076,098 and 17,287,248

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Solution

The third proportional to 8,076,098 and 17,287,248 is: 37,004,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076,098 : 17,287,248 = 17,287,248 : x
  2. Step 2: Convert to fraction form
    8,076,098/17,287,248 = 17,287,248/x
  3. Step 3: Cross multiply
    8,076,098x = 17,287,248 × 17,287,248
  4. Step 4: Simplify right side
    8,076,098x = 298,848,943,413,504
  5. Step 5: Solve for x
    x = 298,848,943,413,504/8,076,098
  6. Step 6: Final answer
    x = 37,004,125.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.