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Finding the Third Proportional to 702,904,918.50 and 1,463,988,847.50

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Solution

The third proportional to 702,904,918.50 and 1,463,988,847.50 is: 3,049,151,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,904,918.50 : 1,463,988,847.50 = 1,463,988,847.50 : x
  2. Step 2: Convert to fraction form
    702,904,918.50/1,463,988,847.50 = 1,463,988,847.50/x
  3. Step 3: Cross multiply
    702,904,918.50x = 1,463,988,847.50 × 1,463,988,847.50
  4. Step 4: Simplify right side
    702,904,918.50x = 2,143,263,345,604,378,368
  5. Step 5: Solve for x
    x = 2,143,263,345,604,378,368/702,904,918.50
  6. Step 6: Final answer
    x = 3,049,151,157.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.