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Finding the Third Proportional to 6,430,834 and 14,157,057

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Solution

The third proportional to 6,430,834 and 14,157,057 is: 31,165,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,834 : 14,157,057 = 14,157,057 : x
  2. Step 2: Convert to fraction form
    6,430,834/14,157,057 = 14,157,057/x
  3. Step 3: Cross multiply
    6,430,834x = 14,157,057 × 14,157,057
  4. Step 4: Simplify right side
    6,430,834x = 200,422,262,901,249
  5. Step 5: Solve for x
    x = 200,422,262,901,249/6,430,834
  6. Step 6: Final answer
    x = 31,165,827.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.