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Finding the Third Proportional to 812,305,168.50 and 1,237,503,769.50

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Solution

The third proportional to 812,305,168.50 and 1,237,503,769.50 is: 1,885,271,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,305,168.50 : 1,237,503,769.50 = 1,237,503,769.50 : x
  2. Step 2: Convert to fraction form
    812,305,168.50/1,237,503,769.50 = 1,237,503,769.50/x
  3. Step 3: Cross multiply
    812,305,168.50x = 1,237,503,769.50 × 1,237,503,769.50
  4. Step 4: Simplify right side
    812,305,168.50x = 1,531,415,579,526,709,248
  5. Step 5: Solve for x
    x = 1,531,415,579,526,709,248/812,305,168.50
  6. Step 6: Final answer
    x = 1,885,271,248.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.