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Finding the Third Proportional to 628,229,946 and 1,381,082,808

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Solution

The third proportional to 628,229,946 and 1,381,082,808 is: 3,036,133,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,229,946 : 1,381,082,808 = 1,381,082,808 : x
  2. Step 2: Convert to fraction form
    628,229,946/1,381,082,808 = 1,381,082,808/x
  3. Step 3: Cross multiply
    628,229,946x = 1,381,082,808 × 1,381,082,808
  4. Step 4: Simplify right side
    628,229,946x = 1,907,389,722,553,164,800
  5. Step 5: Solve for x
    x = 1,907,389,722,553,164,800/628,229,946
  6. Step 6: Final answer
    x = 3,036,133,082.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.