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Finding the Third Proportional to 823,836,519 and 1,243,415,999.50

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Solution

The third proportional to 823,836,519 and 1,243,415,999.50 is: 1,876,687,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,836,519 : 1,243,415,999.50 = 1,243,415,999.50 : x
  2. Step 2: Convert to fraction form
    823,836,519/1,243,415,999.50 = 1,243,415,999.50/x
  3. Step 3: Cross multiply
    823,836,519x = 1,243,415,999.50 × 1,243,415,999.50
  4. Step 4: Simplify right side
    823,836,519x = 1,546,083,347,812,583,936
  5. Step 5: Solve for x
    x = 1,546,083,347,812,583,936/823,836,519
  6. Step 6: Final answer
    x = 1,876,687,075.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.