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Finding the Third Proportional to 2,536,764,938 and 3,880,966,314

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Solution

The third proportional to 2,536,764,938 and 3,880,966,314 is: 5,937,443,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536,764,938 : 3,880,966,314 = 3,880,966,314 : x
  2. Step 2: Convert to fraction form
    2,536,764,938/3,880,966,314 = 3,880,966,314/x
  3. Step 3: Cross multiply
    2,536,764,938x = 3,880,966,314 × 3,880,966,314
  4. Step 4: Simplify right side
    2,536,764,938x = 15,061,899,530,402,746,368
  5. Step 5: Solve for x
    x = 15,061,899,530,402,746,368/2,536,764,938
  6. Step 6: Final answer
    x = 5,937,443,909.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.