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Finding the Third Proportional to 282,630,928 and 426,633,432

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Solution

The third proportional to 282,630,928 and 426,633,432 is: 644,006,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630,928 : 426,633,432 = 426,633,432 : x
  2. Step 2: Convert to fraction form
    282,630,928/426,633,432 = 426,633,432/x
  3. Step 3: Cross multiply
    282,630,928x = 426,633,432 × 426,633,432
  4. Step 4: Simplify right side
    282,630,928x = 182,016,085,300,098,624
  5. Step 5: Solve for x
    x = 182,016,085,300,098,624/282,630,928
  6. Step 6: Final answer
    x = 644,006,254.33

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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.