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Finding the Third Proportional to 6,987,768 and 14,815,308

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Solution

The third proportional to 6,987,768 and 14,815,308 is: 31,411,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987,768 : 14,815,308 = 14,815,308 : x
  2. Step 2: Convert to fraction form
    6,987,768/14,815,308 = 14,815,308/x
  3. Step 3: Cross multiply
    6,987,768x = 14,815,308 × 14,815,308
  4. Step 4: Simplify right side
    6,987,768x = 219,493,351,134,864
  5. Step 5: Solve for x
    x = 219,493,351,134,864/6,987,768
  6. Step 6: Final answer
    x = 31,411,081.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.