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Finding the Third Proportional to 286,735,920 and 629,210,176

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Solution

The third proportional to 286,735,920 and 629,210,176 is: 1,380,731,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,735,920 : 629,210,176 = 629,210,176 : x
  2. Step 2: Convert to fraction form
    286,735,920/629,210,176 = 629,210,176/x
  3. Step 3: Cross multiply
    286,735,920x = 629,210,176 × 629,210,176
  4. Step 4: Simplify right side
    286,735,920x = 395,905,445,581,950,976
  5. Step 5: Solve for x
    x = 395,905,445,581,950,976/286,735,920
  6. Step 6: Final answer
    x = 1,380,731,948.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.