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Finding the Third Proportional to 6,757,970 and 14,705,716

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Solution

The third proportional to 6,757,970 and 14,705,716 is: 32,000,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757,970 : 14,705,716 = 14,705,716 : x
  2. Step 2: Convert to fraction form
    6,757,970/14,705,716 = 14,705,716/x
  3. Step 3: Cross multiply
    6,757,970x = 14,705,716 × 14,705,716
  4. Step 4: Simplify right side
    6,757,970x = 216,258,083,072,656
  5. Step 5: Solve for x
    x = 216,258,083,072,656/6,757,970
  6. Step 6: Final answer
    x = 32,000,450.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.