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Finding the Third Proportional to 706,015,363 and 1,539,153,214

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Solution

The third proportional to 706,015,363 and 1,539,153,214 is: 3,355,440,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,363 : 1,539,153,214 = 1,539,153,214 : x
  2. Step 2: Convert to fraction form
    706,015,363/1,539,153,214 = 1,539,153,214/x
  3. Step 3: Cross multiply
    706,015,363x = 1,539,153,214 × 1,539,153,214
  4. Step 4: Simplify right side
    706,015,363x = 2,368,992,616,166,530,048
  5. Step 5: Solve for x
    x = 2,368,992,616,166,530,048/706,015,363
  6. Step 6: Final answer
    x = 3,355,440,604.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.