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Finding the Third Proportional to 702,904,980.75 and 1,463,988,990.38

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Solution

The third proportional to 702,904,980.75 and 1,463,988,990.38 is: 3,049,151,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,904,980.75 : 1,463,988,990.38 = 1,463,988,990.38 : x
  2. Step 2: Convert to fraction form
    702,904,980.75/1,463,988,990.38 = 1,463,988,990.38/x
  3. Step 3: Cross multiply
    702,904,980.75x = 1,463,988,990.38 × 1,463,988,990.38
  4. Step 4: Simplify right side
    702,904,980.75x = 2,143,263,763,939,211,776
  5. Step 5: Solve for x
    x = 2,143,263,763,939,211,776/702,904,980.75
  6. Step 6: Final answer
    x = 3,049,151,482.26

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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.