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Finding the Third Proportional to 14,557,329 and 31,159,557

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Solution

The third proportional to 14,557,329 and 31,159,557 is: 66,696,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557,329 : 31,159,557 = 31,159,557 : x
  2. Step 2: Convert to fraction form
    14,557,329/31,159,557 = 31,159,557/x
  3. Step 3: Cross multiply
    14,557,329x = 31,159,557 × 31,159,557
  4. Step 4: Simplify right side
    14,557,329x = 970,917,992,436,249
  5. Step 5: Solve for x
    x = 970,917,992,436,249/14,557,329
  6. Step 6: Final answer
    x = 66,696,163.32

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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.