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Finding the Third Proportional to 730,777,862.25 and 1,705,207,237.88

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Solution

The third proportional to 730,777,862.25 and 1,705,207,237.88 is: 3,978,954,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,777,862.25 : 1,705,207,237.88 = 1,705,207,237.88 : x
  2. Step 2: Convert to fraction form
    730,777,862.25/1,705,207,237.88 = 1,705,207,237.88/x
  3. Step 3: Cross multiply
    730,777,862.25x = 1,705,207,237.88 × 1,705,207,237.88
  4. Step 4: Simplify right side
    730,777,862.25x = 2,907,731,724,101,286,912
  5. Step 5: Solve for x
    x = 2,907,731,724,101,286,912/730,777,862.25
  6. Step 6: Final answer
    x = 3,978,954,309.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.