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Finding the Third Proportional to 14,467,846 and 31,207,310

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Solution

The third proportional to 14,467,846 and 31,207,310 is: 67,314,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,846 : 31,207,310 = 31,207,310 : x
  2. Step 2: Convert to fraction form
    14,467,846/31,207,310 = 31,207,310/x
  3. Step 3: Cross multiply
    14,467,846x = 31,207,310 × 31,207,310
  4. Step 4: Simplify right side
    14,467,846x = 973,896,197,436,100
  5. Step 5: Solve for x
    x = 973,896,197,436,100/14,467,846
  6. Step 6: Final answer
    x = 67,314,526.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.