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Finding the Third Proportional to 6,733,364.63 and 10,447,410.38

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Solution

The third proportional to 6,733,364.63 and 10,447,410.38 is: 16,210,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733,364.63 : 10,447,410.38 = 10,447,410.38 : x
  2. Step 2: Convert to fraction form
    6,733,364.63/10,447,410.38 = 10,447,410.38/x
  3. Step 3: Cross multiply
    6,733,364.63x = 10,447,410.38 × 10,447,410.38
  4. Step 4: Simplify right side
    6,733,364.63x = 109,148,383,543,657.64
  5. Step 5: Solve for x
    x = 109,148,383,543,657.64/6,733,364.63
  6. Step 6: Final answer
    x = 16,210,080.64

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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.