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Finding the Third Proportional to 284,068,116 and 611,281,356

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Solution

The third proportional to 284,068,116 and 611,281,356 is: 1,315,405,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,068,116 : 611,281,356 = 611,281,356 : x
  2. Step 2: Convert to fraction form
    284,068,116/611,281,356 = 611,281,356/x
  3. Step 3: Cross multiply
    284,068,116x = 611,281,356 × 611,281,356
  4. Step 4: Simplify right side
    284,068,116x = 373,664,896,193,198,720
  5. Step 5: Solve for x
    x = 373,664,896,193,198,720/284,068,116
  6. Step 6: Final answer
    x = 1,315,405,971.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.