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Finding the Third Proportional to 6,440,416 and 13,889,712

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Solution

The third proportional to 6,440,416 and 13,889,712 is: 29,955,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440,416 : 13,889,712 = 13,889,712 : x
  2. Step 2: Convert to fraction form
    6,440,416/13,889,712 = 13,889,712/x
  3. Step 3: Cross multiply
    6,440,416x = 13,889,712 × 13,889,712
  4. Step 4: Simplify right side
    6,440,416x = 192,924,099,442,944
  5. Step 5: Solve for x
    x = 192,924,099,442,944/6,440,416
  6. Step 6: Final answer
    x = 29,955,223.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.