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Finding the Third Proportional to 8,076,006 and 17,287,011

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Solution

The third proportional to 8,076,006 and 17,287,011 is: 37,003,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076,006 : 17,287,011 = 17,287,011 : x
  2. Step 2: Convert to fraction form
    8,076,006/17,287,011 = 17,287,011/x
  3. Step 3: Cross multiply
    8,076,006x = 17,287,011 × 17,287,011
  4. Step 4: Simplify right side
    8,076,006x = 298,840,749,314,121
  5. Step 5: Solve for x
    x = 298,840,749,314,121/8,076,006
  6. Step 6: Final answer
    x = 37,003,532.35

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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.