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Finding the Third Proportional to 14,375,102 and 31,175,648

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Solution

The third proportional to 14,375,102 and 31,175,648 is: 67,611,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,375,102 : 31,175,648 = 31,175,648 : x
  2. Step 2: Convert to fraction form
    14,375,102/31,175,648 = 31,175,648/x
  3. Step 3: Cross multiply
    14,375,102x = 31,175,648 × 31,175,648
  4. Step 4: Simplify right side
    14,375,102x = 971,921,028,219,904
  5. Step 5: Solve for x
    x = 971,921,028,219,904/14,375,102
  6. Step 6: Final answer
    x = 67,611,417.87

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