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Finding the Third Proportional to 282,630,956 and 426,633,468

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Solution

The third proportional to 282,630,956 and 426,633,468 is: 644,006,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630,956 : 426,633,468 = 426,633,468 : x
  2. Step 2: Convert to fraction form
    282,630,956/426,633,468 = 426,633,468/x
  3. Step 3: Cross multiply
    282,630,956x = 426,633,468 × 426,633,468
  4. Step 4: Simplify right side
    282,630,956x = 182,016,116,017,707,008
  5. Step 5: Solve for x
    x = 182,016,116,017,707,008/282,630,956
  6. Step 6: Final answer
    x = 644,006,299.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.