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Finding the Third Proportional to 6,965,000 and 14,635,024

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Solution

The third proportional to 6,965,000 and 14,635,024 is: 30,751,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,000 : 14,635,024 = 14,635,024 : x
  2. Step 2: Convert to fraction form
    6,965,000/14,635,024 = 14,635,024/x
  3. Step 3: Cross multiply
    6,965,000x = 14,635,024 × 14,635,024
  4. Step 4: Simplify right side
    6,965,000x = 214,183,927,480,576
  5. Step 5: Solve for x
    x = 214,183,927,480,576/6,965,000
  6. Step 6: Final answer
    x = 30,751,461.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.