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Finding the Third Proportional to 14,467,848 and 31,207,322

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Solution

The third proportional to 14,467,848 and 31,207,322 is: 67,314,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,848 : 31,207,322 = 31,207,322 : x
  2. Step 2: Convert to fraction form
    14,467,848/31,207,322 = 31,207,322/x
  3. Step 3: Cross multiply
    14,467,848x = 31,207,322 × 31,207,322
  4. Step 4: Simplify right side
    14,467,848x = 973,896,946,411,684
  5. Step 5: Solve for x
    x = 973,896,946,411,684/14,467,848
  6. Step 6: Final answer
    x = 67,314,568.58

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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.