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Finding the Third Proportional to 276,359,999,781 and 424,596,595,821

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Solution

The third proportional to 276,359,999,781 and 424,596,595,821 is: 652,345,742,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,359,999,781 : 424,596,595,821 = 424,596,595,821 : x
  2. Step 2: Convert to fraction form
    276,359,999,781/424,596,595,821 = 424,596,595,821/x
  3. Step 3: Cross multiply
    276,359,999,781x = 424,596,595,821 × 424,596,595,821
  4. Step 4: Simplify right side
    276,359,999,781x = 180,282,269,182,781,640,671,232
  5. Step 5: Solve for x
    x = 180,282,269,182,781,640,671,232/276,359,999,781
  6. Step 6: Final answer
    x = 652,345,742,240.72

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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.