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Finding the Third Proportional to 6,689,824 and 14,242,688

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Solution

The third proportional to 6,689,824 and 14,242,688 is: 30,322,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689,824 : 14,242,688 = 14,242,688 : x
  2. Step 2: Convert to fraction form
    6,689,824/14,242,688 = 14,242,688/x
  3. Step 3: Cross multiply
    6,689,824x = 14,242,688 × 14,242,688
  4. Step 4: Simplify right side
    6,689,824x = 202,854,161,465,344
  5. Step 5: Solve for x
    x = 202,854,161,465,344/6,689,824
  6. Step 6: Final answer
    x = 30,322,794.96

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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.