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Finding the Third Proportional to 544,159,670.63 and 820,749,380.06

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Solution

The third proportional to 544,159,670.63 and 820,749,380.06 is: 1,237,926,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,159,670.63 : 820,749,380.06 = 820,749,380.06 : x
  2. Step 2: Convert to fraction form
    544,159,670.63/820,749,380.06 = 820,749,380.06/x
  3. Step 3: Cross multiply
    544,159,670.63x = 820,749,380.06 × 820,749,380.06
  4. Step 4: Simplify right side
    544,159,670.63x = 673,629,544,872,978,048
  5. Step 5: Solve for x
    x = 673,629,544,872,978,048/544,159,670.63
  6. Step 6: Final answer
    x = 1,237,926,258.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.