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Finding the Third Proportional to 1,100,306,844 and 1,646,098,014

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Solution

The third proportional to 1,100,306,844 and 1,646,098,014 is: 2,462,620,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,306,844 : 1,646,098,014 = 1,646,098,014 : x
  2. Step 2: Convert to fraction form
    1,100,306,844/1,646,098,014 = 1,646,098,014/x
  3. Step 3: Cross multiply
    1,100,306,844x = 1,646,098,014 × 1,646,098,014
  4. Step 4: Simplify right side
    1,100,306,844x = 2,709,638,671,694,744,064
  5. Step 5: Solve for x
    x = 2,709,638,671,694,744,064/1,100,306,844
  6. Step 6: Final answer
    x = 2,462,620,937.49

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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.