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Finding the Third Proportional to 6,696,664 and 14,534,941

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Solution

The third proportional to 6,696,664 and 14,534,941 is: 31,547,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696,664 : 14,534,941 = 14,534,941 : x
  2. Step 2: Convert to fraction form
    6,696,664/14,534,941 = 14,534,941/x
  3. Step 3: Cross multiply
    6,696,664x = 14,534,941 × 14,534,941
  4. Step 4: Simplify right side
    6,696,664x = 211,264,509,873,481
  5. Step 5: Solve for x
    x = 211,264,509,873,481/6,696,664
  6. Step 6: Final answer
    x = 31,547,724.34

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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.