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Finding the Third Proportional to 330,030,120 and 699,400,965

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Solution

The third proportional to 330,030,120 and 699,400,965 is: 1,482,172,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,030,120 : 699,400,965 = 699,400,965 : x
  2. Step 2: Convert to fraction form
    330,030,120/699,400,965 = 699,400,965/x
  3. Step 3: Cross multiply
    330,030,120x = 699,400,965 × 699,400,965
  4. Step 4: Simplify right side
    330,030,120x = 489,161,709,842,931,200
  5. Step 5: Solve for x
    x = 489,161,709,842,931,200/330,030,120
  6. Step 6: Final answer
    x = 1,482,172,929.68

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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.