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Finding the Third Proportional to 282,630,930 and 426,633,435

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Solution

The third proportional to 282,630,930 and 426,633,435 is: 644,006,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630,930 : 426,633,435 = 426,633,435 : x
  2. Step 2: Convert to fraction form
    282,630,930/426,633,435 = 426,633,435/x
  3. Step 3: Cross multiply
    282,630,930x = 426,633,435 × 426,633,435
  4. Step 4: Simplify right side
    282,630,930x = 182,016,087,859,899,232
  5. Step 5: Solve for x
    x = 182,016,087,859,899,232/282,630,930
  6. Step 6: Final answer
    x = 644,006,258.83

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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.