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Finding the Third Proportional to 531,957,912,474 and 794,450,995,291.50

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Solution

The third proportional to 531,957,912,474 and 794,450,995,291.50 is: 1,186,470,525,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,957,912,474 : 794,450,995,291.50 = 794,450,995,291.50 : x
  2. Step 2: Convert to fraction form
    531,957,912,474/794,450,995,291.50 = 794,450,995,291.50/x
  3. Step 3: Cross multiply
    531,957,912,474x = 794,450,995,291.50 × 794,450,995,291.50
  4. Step 4: Simplify right side
    531,957,912,474x = 631,152,383,919,654,961,152,000
  5. Step 5: Solve for x
    x = 631,152,383,919,654,961,152,000/531,957,912,474
  6. Step 6: Final answer
    x = 1,186,470,525,429.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.