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Finding the Third Proportional to 6,829,957 and 14,544,770

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Solution

The third proportional to 6,829,957 and 14,544,770 is: 30,973,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,957 : 14,544,770 = 14,544,770 : x
  2. Step 2: Convert to fraction form
    6,829,957/14,544,770 = 14,544,770/x
  3. Step 3: Cross multiply
    6,829,957x = 14,544,770 × 14,544,770
  4. Step 4: Simplify right side
    6,829,957x = 211,550,334,352,900
  5. Step 5: Solve for x
    x = 211,550,334,352,900/6,829,957
  6. Step 6: Final answer
    x = 30,973,889.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.