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Finding the Third Proportional to 14,364,876 and 31,008,768

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Solution

The third proportional to 14,364,876 and 31,008,768 is: 66,937,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364,876 : 31,008,768 = 31,008,768 : x
  2. Step 2: Convert to fraction form
    14,364,876/31,008,768 = 31,008,768/x
  3. Step 3: Cross multiply
    14,364,876x = 31,008,768 × 31,008,768
  4. Step 4: Simplify right side
    14,364,876x = 961,543,692,877,824
  5. Step 5: Solve for x
    x = 961,543,692,877,824/14,364,876
  6. Step 6: Final answer
    x = 66,937,138.40

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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.