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Finding the Third Proportional to 6,810,356.50 and 10,156,476.75

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Solution

The third proportional to 6,810,356.50 and 10,156,476.75 is: 15,146,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,356.50 : 10,156,476.75 = 10,156,476.75 : x
  2. Step 2: Convert to fraction form
    6,810,356.50/10,156,476.75 = 10,156,476.75/x
  3. Step 3: Cross multiply
    6,810,356.50x = 10,156,476.75 × 10,156,476.75
  4. Step 4: Simplify right side
    6,810,356.50x = 103,154,019,973,290.56
  5. Step 5: Solve for x
    x = 103,154,019,973,290.56/6,810,356.50
  6. Step 6: Final answer
    x = 15,146,640.26

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Why These Related Problems?

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