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Finding the Third Proportional to 6,425,484 and 13,970,712

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Solution

The third proportional to 6,425,484 and 13,970,712 is: 30,376,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,484 : 13,970,712 = 13,970,712 : x
  2. Step 2: Convert to fraction form
    6,425,484/13,970,712 = 13,970,712/x
  3. Step 3: Cross multiply
    6,425,484x = 13,970,712 × 13,970,712
  4. Step 4: Simplify right side
    6,425,484x = 195,180,793,786,944
  5. Step 5: Solve for x
    x = 195,180,793,786,944/6,425,484
  6. Step 6: Final answer
    x = 30,376,045.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.