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Finding the Third Proportional to 330,027,399 and 699,395,994

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Solution

The third proportional to 330,027,399 and 699,395,994 is: 1,482,164,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,027,399 : 699,395,994 = 699,395,994 : x
  2. Step 2: Convert to fraction form
    330,027,399/699,395,994 = 699,395,994/x
  3. Step 3: Cross multiply
    330,027,399x = 699,395,994 × 699,395,994
  4. Step 4: Simplify right side
    330,027,399x = 489,154,756,423,248,064
  5. Step 5: Solve for x
    x = 489,154,756,423,248,064/330,027,399
  6. Step 6: Final answer
    x = 1,482,164,080.64

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