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Finding the Third Proportional to 859,525,710.75 and 1,841,592,676.50

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Solution

The third proportional to 859,525,710.75 and 1,841,592,676.50 is: 3,945,738,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,525,710.75 : 1,841,592,676.50 = 1,841,592,676.50 : x
  2. Step 2: Convert to fraction form
    859,525,710.75/1,841,592,676.50 = 1,841,592,676.50/x
  3. Step 3: Cross multiply
    859,525,710.75x = 1,841,592,676.50 × 1,841,592,676.50
  4. Step 4: Simplify right side
    859,525,710.75x = 3,391,463,586,138,433,536
  5. Step 5: Solve for x
    x = 3,391,463,586,138,433,536/859,525,710.75
  6. Step 6: Final answer
    x = 3,945,738,380.74

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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.