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Finding the Third Proportional to 6,708,864 and 14,735,712

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Solution

The third proportional to 6,708,864 and 14,735,712 is: 32,366,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708,864 : 14,735,712 = 14,735,712 : x
  2. Step 2: Convert to fraction form
    6,708,864/14,735,712 = 14,735,712/x
  3. Step 3: Cross multiply
    6,708,864x = 14,735,712 × 14,735,712
  4. Step 4: Simplify right side
    6,708,864x = 217,141,208,146,944
  5. Step 5: Solve for x
    x = 217,141,208,146,944/6,708,864
  6. Step 6: Final answer
    x = 32,366,315.39

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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.