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Finding the Third Proportional to 299,762,964 and 449,642,961

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Solution

The third proportional to 299,762,964 and 449,642,961 is: 674,462,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,762,964 : 449,642,961 = 449,642,961 : x
  2. Step 2: Convert to fraction form
    299,762,964/449,642,961 = 449,642,961/x
  3. Step 3: Cross multiply
    299,762,964x = 449,642,961 × 449,642,961
  4. Step 4: Simplify right side
    299,762,964x = 202,178,792,376,847,520
  5. Step 5: Solve for x
    x = 202,178,792,376,847,520/299,762,964
  6. Step 6: Final answer
    x = 674,462,214.01

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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.