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Finding the Third Proportional to 6,499,712 and 14,084,176

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Solution

The third proportional to 6,499,712 and 14,084,176 is: 30,518,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,712 : 14,084,176 = 14,084,176 : x
  2. Step 2: Convert to fraction form
    6,499,712/14,084,176 = 14,084,176/x
  3. Step 3: Cross multiply
    6,499,712x = 14,084,176 × 14,084,176
  4. Step 4: Simplify right side
    6,499,712x = 198,364,013,598,976
  5. Step 5: Solve for x
    x = 198,364,013,598,976/6,499,712
  6. Step 6: Final answer
    x = 30,518,892.78

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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.