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Finding the Third Proportional to 6,696,666 and 14,534,945

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Solution

The third proportional to 6,696,666 and 14,534,945 is: 31,547,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696,666 : 14,534,945 = 14,534,945 : x
  2. Step 2: Convert to fraction form
    6,696,666/14,534,945 = 14,534,945/x
  3. Step 3: Cross multiply
    6,696,666x = 14,534,945 × 14,534,945
  4. Step 4: Simplify right side
    6,696,666x = 211,264,626,153,025
  5. Step 5: Solve for x
    x = 211,264,626,153,025/6,696,666
  6. Step 6: Final answer
    x = 31,547,732.28

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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.