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Finding the Third Proportional to 6,731,490 and 14,489,412

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Solution

The third proportional to 6,731,490 and 14,489,412 is: 31,188,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731,490 : 14,489,412 = 14,489,412 : x
  2. Step 2: Convert to fraction form
    6,731,490/14,489,412 = 14,489,412/x
  3. Step 3: Cross multiply
    6,731,490x = 14,489,412 × 14,489,412
  4. Step 4: Simplify right side
    6,731,490x = 209,943,060,105,744
  5. Step 5: Solve for x
    x = 209,943,060,105,744/6,731,490
  6. Step 6: Final answer
    x = 31,188,200.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.