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Finding the Third Proportional to 706,015,313.44 and 1,539,153,111.94

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Solution

The third proportional to 706,015,313.44 and 1,539,153,111.94 is: 3,355,440,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,313.44 : 1,539,153,111.94 = 1,539,153,111.94 : x
  2. Step 2: Convert to fraction form
    706,015,313.44/1,539,153,111.94 = 1,539,153,111.94/x
  3. Step 3: Cross multiply
    706,015,313.44x = 1,539,153,111.94 × 1,539,153,111.94
  4. Step 4: Simplify right side
    706,015,313.44x = 2,368,992,301,986,890,240
  5. Step 5: Solve for x
    x = 2,368,992,301,986,890,240/706,015,313.44
  6. Step 6: Final answer
    x = 3,355,440,394.70

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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.