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Finding the Third Proportional to 6,430,853 and 14,157,098

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Solution

The third proportional to 6,430,853 and 14,157,098 is: 31,165,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,853 : 14,157,098 = 14,157,098 : x
  2. Step 2: Convert to fraction form
    6,430,853/14,157,098 = 14,157,098/x
  3. Step 3: Cross multiply
    6,430,853x = 14,157,098 × 14,157,098
  4. Step 4: Simplify right side
    6,430,853x = 200,423,423,781,604
  5. Step 5: Solve for x
    x = 200,423,423,781,604/6,430,853
  6. Step 6: Final answer
    x = 31,165,915.90

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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.