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Finding the Third Proportional to 6,653,560 and 14,436,434

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Solution

The third proportional to 6,653,560 and 14,436,434 is: 31,323,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653,560 : 14,436,434 = 14,436,434 : x
  2. Step 2: Convert to fraction form
    6,653,560/14,436,434 = 14,436,434/x
  3. Step 3: Cross multiply
    6,653,560x = 14,436,434 × 14,436,434
  4. Step 4: Simplify right side
    6,653,560x = 208,410,626,636,356
  5. Step 5: Solve for x
    x = 208,410,626,636,356/6,653,560
  6. Step 6: Final answer
    x = 31,323,175.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.