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Finding the Third Proportional to 299,762,973 and 449,642,974.50

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Solution

The third proportional to 299,762,973 and 449,642,974.50 is: 674,462,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,762,973 : 449,642,974.50 = 449,642,974.50 : x
  2. Step 2: Convert to fraction form
    299,762,973/449,642,974.50 = 449,642,974.50/x
  3. Step 3: Cross multiply
    299,762,973x = 449,642,974.50 × 449,642,974.50
  4. Step 4: Simplify right side
    299,762,973x = 202,178,804,517,207,648
  5. Step 5: Solve for x
    x = 202,178,804,517,207,648/299,762,973
  6. Step 6: Final answer
    x = 674,462,234.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.