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Finding the Third Proportional to 2,839,853,648 and 4,243,886,140

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Solution

The third proportional to 2,839,853,648 and 4,243,886,140 is: 6,342,076,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,853,648 : 4,243,886,140 = 4,243,886,140 : x
  2. Step 2: Convert to fraction form
    2,839,853,648/4,243,886,140 = 4,243,886,140/x
  3. Step 3: Cross multiply
    2,839,853,648x = 4,243,886,140 × 4,243,886,140
  4. Step 4: Simplify right side
    2,839,853,648x = 18,010,569,569,284,100,096
  5. Step 5: Solve for x
    x = 18,010,569,569,284,100,096/2,839,853,648
  6. Step 6: Final answer
    x = 6,342,076,670.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.