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Finding the Third Proportional to 265,656,576 and 416,699,020.13

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Solution

The third proportional to 265,656,576 and 416,699,020.13 is: 653,618,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,656,576 : 416,699,020.13 = 416,699,020.13 : x
  2. Step 2: Convert to fraction form
    265,656,576/416,699,020.13 = 416,699,020.13/x
  3. Step 3: Cross multiply
    265,656,576x = 416,699,020.13 × 416,699,020.13
  4. Step 4: Simplify right side
    265,656,576x = 173,638,073,373,135,168
  5. Step 5: Solve for x
    x = 173,638,073,373,135,168/265,656,576
  6. Step 6: Final answer
    x = 653,618,577.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.