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Finding the Third Proportional to 1,371,012,223 and 2,088,642,286

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Solution

The third proportional to 1,371,012,223 and 2,088,642,286 is: 3,181,902,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,012,223 : 2,088,642,286 = 2,088,642,286 : x
  2. Step 2: Convert to fraction form
    1,371,012,223/2,088,642,286 = 2,088,642,286/x
  3. Step 3: Cross multiply
    1,371,012,223x = 2,088,642,286 × 2,088,642,286
  4. Step 4: Simplify right side
    1,371,012,223x = 4,362,426,598,867,305,984
  5. Step 5: Solve for x
    x = 4,362,426,598,867,305,984/1,371,012,223
  6. Step 6: Final answer
    x = 3,181,902,047.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.