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Finding the Third Proportional to 1,100,306,848 and 1,646,098,020

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Solution

The third proportional to 1,100,306,848 and 1,646,098,020 is: 2,462,620,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,306,848 : 1,646,098,020 = 1,646,098,020 : x
  2. Step 2: Convert to fraction form
    1,100,306,848/1,646,098,020 = 1,646,098,020/x
  3. Step 3: Cross multiply
    1,100,306,848x = 1,646,098,020 × 1,646,098,020
  4. Step 4: Simplify right side
    1,100,306,848x = 2,709,638,691,447,920,640
  5. Step 5: Solve for x
    x = 2,709,638,691,447,920,640/1,100,306,848
  6. Step 6: Final answer
    x = 2,462,620,946.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.