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Finding the Third Proportional to 416,253,699.56 and 925,575,153.75

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Solution

The third proportional to 416,253,699.56 and 925,575,153.75 is: 2,058,094,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,253,699.56 : 925,575,153.75 = 925,575,153.75 : x
  2. Step 2: Convert to fraction form
    416,253,699.56/925,575,153.75 = 925,575,153.75/x
  3. Step 3: Cross multiply
    416,253,699.56x = 925,575,153.75 × 925,575,153.75
  4. Step 4: Simplify right side
    416,253,699.56x = 856,689,365,239,336,192
  5. Step 5: Solve for x
    x = 856,689,365,239,336,192/416,253,699.56
  6. Step 6: Final answer
    x = 2,058,094,297.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.