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Finding the Third Proportional to 1,348,897,617 and 2,023,346,424

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Solution

The third proportional to 1,348,897,617 and 2,023,346,424 is: 3,035,019,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,897,617 : 2,023,346,424 = 2,023,346,424 : x
  2. Step 2: Convert to fraction form
    1,348,897,617/2,023,346,424 = 2,023,346,424/x
  3. Step 3: Cross multiply
    1,348,897,617x = 2,023,346,424 × 2,023,346,424
  4. Step 4: Simplify right side
    1,348,897,617x = 4,093,930,751,513,587,712
  5. Step 5: Solve for x
    x = 4,093,930,751,513,587,712/1,348,897,617
  6. Step 6: Final answer
    x = 3,035,019,633.75

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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.