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Finding the Third Proportional to 6,436,984 and 13,403,088

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Solution

The third proportional to 6,436,984 and 13,403,088 is: 27,907,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,984 : 13,403,088 = 13,403,088 : x
  2. Step 2: Convert to fraction form
    6,436,984/13,403,088 = 13,403,088/x
  3. Step 3: Cross multiply
    6,436,984x = 13,403,088 × 13,403,088
  4. Step 4: Simplify right side
    6,436,984x = 179,642,767,935,744
  5. Step 5: Solve for x
    x = 179,642,767,935,744/6,436,984
  6. Step 6: Final answer
    x = 27,907,909.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.