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Finding the Third Proportional to 3,931,356.50 and 8,409,206

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Solution

The third proportional to 3,931,356.50 and 8,409,206 is: 17,987,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931,356.50 : 8,409,206 = 8,409,206 : x
  2. Step 2: Convert to fraction form
    3,931,356.50/8,409,206 = 8,409,206/x
  3. Step 3: Cross multiply
    3,931,356.50x = 8,409,206 × 8,409,206
  4. Step 4: Simplify right side
    3,931,356.50x = 70,714,745,550,436
  5. Step 5: Solve for x
    x = 70,714,745,550,436/3,931,356.50
  6. Step 6: Final answer
    x = 17,987,365.32

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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.