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Finding the Third Proportional to 647,220,810 and 1,426,365,834

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Solution

The third proportional to 647,220,810 and 1,426,365,834 is: 3,143,470,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,220,810 : 1,426,365,834 = 1,426,365,834 : x
  2. Step 2: Convert to fraction form
    647,220,810/1,426,365,834 = 1,426,365,834/x
  3. Step 3: Cross multiply
    647,220,810x = 1,426,365,834 × 1,426,365,834
  4. Step 4: Simplify right side
    647,220,810x = 2,034,519,492,402,515,456
  5. Step 5: Solve for x
    x = 2,034,519,492,402,515,456/647,220,810
  6. Step 6: Final answer
    x = 3,143,470,452.38

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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.