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Finding the Third Proportional to 938,715,818.50 and 1,954,684,006.50

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Solution

The third proportional to 938,715,818.50 and 1,954,684,006.50 is: 4,070,230,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,715,818.50 : 1,954,684,006.50 = 1,954,684,006.50 : x
  2. Step 2: Convert to fraction form
    938,715,818.50/1,954,684,006.50 = 1,954,684,006.50/x
  3. Step 3: Cross multiply
    938,715,818.50x = 1,954,684,006.50 × 1,954,684,006.50
  4. Step 4: Simplify right side
    938,715,818.50x = 3,820,789,565,266,892,288
  5. Step 5: Solve for x
    x = 3,820,789,565,266,892,288/938,715,818.50
  6. Step 6: Final answer
    x = 4,070,230,297.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.