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Finding the Third Proportional to 276,359,999,775 and 424,596,595,812

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Solution

The third proportional to 276,359,999,775 and 424,596,595,812 is: 652,345,742,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,359,999,775 : 424,596,595,812 = 424,596,595,812 : x
  2. Step 2: Convert to fraction form
    276,359,999,775/424,596,595,812 = 424,596,595,812/x
  3. Step 3: Cross multiply
    276,359,999,775x = 424,596,595,812 × 424,596,595,812
  4. Step 4: Simplify right side
    276,359,999,775x = 180,282,269,175,138,880,585,728
  5. Step 5: Solve for x
    x = 180,282,269,175,138,880,585,728/276,359,999,775
  6. Step 6: Final answer
    x = 652,345,742,227.23

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Why These Related Problems?

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