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Finding the Third Proportional to 330,030,088 and 699,400,903

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Solution

The third proportional to 330,030,088 and 699,400,903 is: 1,482,172,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,030,088 : 699,400,903 = 699,400,903 : x
  2. Step 2: Convert to fraction form
    330,030,088/699,400,903 = 699,400,903/x
  3. Step 3: Cross multiply
    330,030,088x = 699,400,903 × 699,400,903
  4. Step 4: Simplify right side
    330,030,088x = 489,161,623,117,215,424
  5. Step 5: Solve for x
    x = 489,161,623,117,215,424/330,030,088
  6. Step 6: Final answer
    x = 1,482,172,810.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.