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Finding the Third Proportional to 669,102,691.50 and 1,449,389,551.50

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Solution

The third proportional to 669,102,691.50 and 1,449,389,551.50 is: 3,139,622,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,102,691.50 : 1,449,389,551.50 = 1,449,389,551.50 : x
  2. Step 2: Convert to fraction form
    669,102,691.50/1,449,389,551.50 = 1,449,389,551.50/x
  3. Step 3: Cross multiply
    669,102,691.50x = 1,449,389,551.50 × 1,449,389,551.50
  4. Step 4: Simplify right side
    669,102,691.50x = 2,100,730,071,997,371,136
  5. Step 5: Solve for x
    x = 2,100,730,071,997,371,136/669,102,691.50
  6. Step 6: Final answer
    x = 3,139,622,809.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.