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Finding the Third Proportional to 10,095,064 and 15,661,122.50

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Solution

The third proportional to 10,095,064 and 15,661,122.50 is: 24,296,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095,064 : 15,661,122.50 = 15,661,122.50 : x
  2. Step 2: Convert to fraction form
    10,095,064/15,661,122.50 = 15,661,122.50/x
  3. Step 3: Cross multiply
    10,095,064x = 15,661,122.50 × 15,661,122.50
  4. Step 4: Simplify right side
    10,095,064x = 245,270,757,960,006.25
  5. Step 5: Solve for x
    x = 245,270,757,960,006.25/10,095,064
  6. Step 6: Final answer
    x = 24,296,107.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.