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Finding the Third Proportional to 6,810,384 and 10,156,512

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Solution

The third proportional to 6,810,384 and 10,156,512 is: 15,146,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,384 : 10,156,512 = 10,156,512 : x
  2. Step 2: Convert to fraction form
    6,810,384/10,156,512 = 10,156,512/x
  3. Step 3: Cross multiply
    6,810,384x = 10,156,512 × 10,156,512
  4. Step 4: Simplify right side
    6,810,384x = 103,154,736,006,144
  5. Step 5: Solve for x
    x = 103,154,736,006,144/6,810,384
  6. Step 6: Final answer
    x = 15,146,684.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.