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Finding the Third Proportional to 6,966,157 and 14,778,684

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Solution

The third proportional to 6,966,157 and 14,778,684 is: 31,352,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966,157 : 14,778,684 = 14,778,684 : x
  2. Step 2: Convert to fraction form
    6,966,157/14,778,684 = 14,778,684/x
  3. Step 3: Cross multiply
    6,966,157x = 14,778,684 × 14,778,684
  4. Step 4: Simplify right side
    6,966,157x = 218,409,500,771,856
  5. Step 5: Solve for x
    x = 218,409,500,771,856/6,966,157
  6. Step 6: Final answer
    x = 31,352,939.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.