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Finding the Third Proportional to 903,741,507 and 1,396,511,077.50

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Solution

The third proportional to 903,741,507 and 1,396,511,077.50 is: 2,157,965,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,741,507 : 1,396,511,077.50 = 1,396,511,077.50 : x
  2. Step 2: Convert to fraction form
    903,741,507/1,396,511,077.50 = 1,396,511,077.50/x
  3. Step 3: Cross multiply
    903,741,507x = 1,396,511,077.50 × 1,396,511,077.50
  4. Step 4: Simplify right side
    903,741,507x = 1,950,243,189,580,210,944
  5. Step 5: Solve for x
    x = 1,950,243,189,580,210,944/903,741,507
  6. Step 6: Final answer
    x = 2,157,965,717.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.