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Finding the Third Proportional to 755,925,525.75 and 1,650,324,009

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Solution

The third proportional to 755,925,525.75 and 1,650,324,009 is: 3,602,959,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,925,525.75 : 1,650,324,009 = 1,650,324,009 : x
  2. Step 2: Convert to fraction form
    755,925,525.75/1,650,324,009 = 1,650,324,009/x
  3. Step 3: Cross multiply
    755,925,525.75x = 1,650,324,009 × 1,650,324,009
  4. Step 4: Simplify right side
    755,925,525.75x = 2,723,569,334,681,831,936
  5. Step 5: Solve for x
    x = 2,723,569,334,681,831,936/755,925,525.75
  6. Step 6: Final answer
    x = 3,602,959,870.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.