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Finding the Third Proportional to 6,473,494 and 13,956,656

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Solution

The third proportional to 6,473,494 and 13,956,656 is: 30,090,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,494 : 13,956,656 = 13,956,656 : x
  2. Step 2: Convert to fraction form
    6,473,494/13,956,656 = 13,956,656/x
  3. Step 3: Cross multiply
    6,473,494x = 13,956,656 × 13,956,656
  4. Step 4: Simplify right side
    6,473,494x = 194,788,246,702,336
  5. Step 5: Solve for x
    x = 194,788,246,702,336/6,473,494
  6. Step 6: Final answer
    x = 30,090,125.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.