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Finding the Third Proportional to 284,068,026 and 611,281,188

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Solution

The third proportional to 284,068,026 and 611,281,188 is: 1,315,405,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,068,026 : 611,281,188 = 611,281,188 : x
  2. Step 2: Convert to fraction form
    284,068,026/611,281,188 = 611,281,188/x
  3. Step 3: Cross multiply
    284,068,026x = 611,281,188 × 611,281,188
  4. Step 4: Simplify right side
    284,068,026x = 373,664,690,802,691,328
  5. Step 5: Solve for x
    x = 373,664,690,802,691,328/284,068,026
  6. Step 6: Final answer
    x = 1,315,405,665.55

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Why These Related Problems?

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