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Finding the Third Proportional to 330,027,394 and 699,395,984

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Solution

The third proportional to 330,027,394 and 699,395,984 is: 1,482,164,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,027,394 : 699,395,984 = 699,395,984 : x
  2. Step 2: Convert to fraction form
    330,027,394/699,395,984 = 699,395,984/x
  3. Step 3: Cross multiply
    330,027,394x = 699,395,984 × 699,395,984
  4. Step 4: Simplify right side
    330,027,394x = 489,154,742,435,328,256
  5. Step 5: Solve for x
    x = 489,154,742,435,328,256/330,027,394
  6. Step 6: Final answer
    x = 1,482,164,060.71

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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.