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Finding the Third Proportional to 14,676,880 and 31,129,600

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Solution

The third proportional to 14,676,880 and 31,129,600 is: 66,025,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676,880 : 31,129,600 = 31,129,600 : x
  2. Step 2: Convert to fraction form
    14,676,880/31,129,600 = 31,129,600/x
  3. Step 3: Cross multiply
    14,676,880x = 31,129,600 × 31,129,600
  4. Step 4: Simplify right side
    14,676,880x = 969,051,996,160,000
  5. Step 5: Solve for x
    x = 969,051,996,160,000/14,676,880
  6. Step 6: Final answer
    x = 66,025,749.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.