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Finding the Third Proportional to 1,574,202,899 and 3,444,951,118

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Solution

The third proportional to 1,574,202,899 and 3,444,951,118 is: 7,538,855,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,202,899 : 3,444,951,118 = 3,444,951,118 : x
  2. Step 2: Convert to fraction form
    1,574,202,899/3,444,951,118 = 3,444,951,118/x
  3. Step 3: Cross multiply
    1,574,202,899x = 3,444,951,118 × 3,444,951,118
  4. Step 4: Simplify right side
    1,574,202,899x = 11,867,688,205,409,449,984
  5. Step 5: Solve for x
    x = 11,867,688,205,409,449,984/1,574,202,899
  6. Step 6: Final answer
    x = 7,538,855,514.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.