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Finding the Third Proportional to 804,996,813 and 1,739,244,273

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Solution

The third proportional to 804,996,813 and 1,739,244,273 is: 3,757,742,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,996,813 : 1,739,244,273 = 1,739,244,273 : x
  2. Step 2: Convert to fraction form
    804,996,813/1,739,244,273 = 1,739,244,273/x
  3. Step 3: Cross multiply
    804,996,813x = 1,739,244,273 × 1,739,244,273
  4. Step 4: Simplify right side
    804,996,813x = 3,024,970,641,163,298,304
  5. Step 5: Solve for x
    x = 3,024,970,641,163,298,304/804,996,813
  6. Step 6: Final answer
    x = 3,757,742,381.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.