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Finding the Third Proportional to 786,881,939.34 and 1,629,476,610.19

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Solution

The third proportional to 786,881,939.34 and 1,629,476,610.19 is: 3,374,323,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,881,939.34 : 1,629,476,610.19 = 1,629,476,610.19 : x
  2. Step 2: Convert to fraction form
    786,881,939.34/1,629,476,610.19 = 1,629,476,610.19/x
  3. Step 3: Cross multiply
    786,881,939.34x = 1,629,476,610.19 × 1,629,476,610.19
  4. Step 4: Simplify right side
    786,881,939.34x = 2,655,194,023,148,145,664
  5. Step 5: Solve for x
    x = 2,655,194,023,148,145,664/786,881,939.34
  6. Step 6: Final answer
    x = 3,374,323,250.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.