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Finding the Third Proportional to 859,525,692 and 1,841,592,640

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Solution

The third proportional to 859,525,692 and 1,841,592,640 is: 3,945,738,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,525,692 : 1,841,592,640 = 1,841,592,640 : x
  2. Step 2: Convert to fraction form
    859,525,692/1,841,592,640 = 1,841,592,640/x
  3. Step 3: Cross multiply
    859,525,692x = 1,841,592,640 × 1,841,592,640
  4. Step 4: Simplify right side
    859,525,692x = 3,391,463,451,702,169,600
  5. Step 5: Solve for x
    x = 3,391,463,451,702,169,600/859,525,692
  6. Step 6: Final answer
    x = 3,945,738,310.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.