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Finding the Third Proportional to 1,208,349,420.75 and 2,602,629,360

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Solution

The third proportional to 1,208,349,420.75 and 2,602,629,360 is: 5,605,729,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,349,420.75 : 2,602,629,360 = 2,602,629,360 : x
  2. Step 2: Convert to fraction form
    1,208,349,420.75/2,602,629,360 = 2,602,629,360/x
  3. Step 3: Cross multiply
    1,208,349,420.75x = 2,602,629,360 × 2,602,629,360
  4. Step 4: Simplify right side
    1,208,349,420.75x = 6,773,679,585,534,009,344
  5. Step 5: Solve for x
    x = 6,773,679,585,534,009,344/1,208,349,420.75
  6. Step 6: Final answer
    x = 5,605,729,161.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.