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Finding the Third Proportional to 647,220,812 and 1,426,365,838

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Solution

The third proportional to 647,220,812 and 1,426,365,838 is: 3,143,470,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,220,812 : 1,426,365,838 = 1,426,365,838 : x
  2. Step 2: Convert to fraction form
    647,220,812/1,426,365,838 = 1,426,365,838/x
  3. Step 3: Cross multiply
    647,220,812x = 1,426,365,838 × 1,426,365,838
  4. Step 4: Simplify right side
    647,220,812x = 2,034,519,503,813,442,304
  5. Step 5: Solve for x
    x = 2,034,519,503,813,442,304/647,220,812
  6. Step 6: Final answer
    x = 3,143,470,460.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.