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Finding the Third Proportional to 6,046,670 and 13,156,176

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Solution

The third proportional to 6,046,670 and 13,156,176 is: 28,624,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,670 : 13,156,176 = 13,156,176 : x
  2. Step 2: Convert to fraction form
    6,046,670/13,156,176 = 13,156,176/x
  3. Step 3: Cross multiply
    6,046,670x = 13,156,176 × 13,156,176
  4. Step 4: Simplify right side
    6,046,670x = 173,084,966,942,976
  5. Step 5: Solve for x
    x = 173,084,966,942,976/6,046,670
  6. Step 6: Final answer
    x = 28,624,840.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.