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Finding the Third Proportional to 937,116,028.69 and 1,371,178,074.38

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Solution

The third proportional to 937,116,028.69 and 1,371,178,074.38 is: 2,006,292,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,116,028.69 : 1,371,178,074.38 = 1,371,178,074.38 : x
  2. Step 2: Convert to fraction form
    937,116,028.69/1,371,178,074.38 = 1,371,178,074.38/x
  3. Step 3: Cross multiply
    937,116,028.69x = 1,371,178,074.38 × 1,371,178,074.38
  4. Step 4: Simplify right side
    937,116,028.69x = 1,880,129,311,646,733,056
  5. Step 5: Solve for x
    x = 1,880,129,311,646,733,056/937,116,028.69
  6. Step 6: Final answer
    x = 2,006,292,981.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.