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Finding the Third Proportional to 967,585,206.38 and 1,494,151,428.94

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Solution

The third proportional to 967,585,206.38 and 1,494,151,428.94 is: 2,307,278,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,585,206.38 : 1,494,151,428.94 = 1,494,151,428.94 : x
  2. Step 2: Convert to fraction form
    967,585,206.38/1,494,151,428.94 = 1,494,151,428.94/x
  3. Step 3: Cross multiply
    967,585,206.38x = 1,494,151,428.94 × 1,494,151,428.94
  4. Step 4: Simplify right side
    967,585,206.38x = 2,232,488,492,595,973,120
  5. Step 5: Solve for x
    x = 2,232,488,492,595,973,120/967,585,206.38
  6. Step 6: Final answer
    x = 2,307,278,447.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.