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Finding the Third Proportional to 6,594,870 and 14,317,731

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Solution

The third proportional to 6,594,870 and 14,317,731 is: 31,084,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,870 : 14,317,731 = 14,317,731 : x
  2. Step 2: Convert to fraction form
    6,594,870/14,317,731 = 14,317,731/x
  3. Step 3: Cross multiply
    6,594,870x = 14,317,731 × 14,317,731
  4. Step 4: Simplify right side
    6,594,870x = 204,997,420,988,361
  5. Step 5: Solve for x
    x = 204,997,420,988,361/6,594,870
  6. Step 6: Final answer
    x = 31,084,376.34

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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.