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Finding the Third Proportional to 1,684,687,924 and 2,629,019,774

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Solution

The third proportional to 1,684,687,924 and 2,629,019,774 is: 4,102,685,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,687,924 : 2,629,019,774 = 2,629,019,774 : x
  2. Step 2: Convert to fraction form
    1,684,687,924/2,629,019,774 = 2,629,019,774/x
  3. Step 3: Cross multiply
    1,684,687,924x = 2,629,019,774 × 2,629,019,774
  4. Step 4: Simplify right side
    1,684,687,924x = 6,911,744,972,083,011,584
  5. Step 5: Solve for x
    x = 6,911,744,972,083,011,584/1,684,687,924
  6. Step 6: Final answer
    x = 4,102,685,650.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.