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Finding the Third Proportional to 416,155,752 and 905,571,669

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Solution

The third proportional to 416,155,752 and 905,571,669 is: 1,970,560,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,155,752 : 905,571,669 = 905,571,669 : x
  2. Step 2: Convert to fraction form
    416,155,752/905,571,669 = 905,571,669/x
  3. Step 3: Cross multiply
    416,155,752x = 905,571,669 × 905,571,669
  4. Step 4: Simplify right side
    416,155,752x = 820,060,047,695,445,504
  5. Step 5: Solve for x
    x = 820,060,047,695,445,504/416,155,752
  6. Step 6: Final answer
    x = 1,970,560,406.18

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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.