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Finding the Third Proportional to 577,433,716 and 1,362,684,958

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Solution

The third proportional to 577,433,716 and 1,362,684,958 is: 3,215,798,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,433,716 : 1,362,684,958 = 1,362,684,958 : x
  2. Step 2: Convert to fraction form
    577,433,716/1,362,684,958 = 1,362,684,958/x
  3. Step 3: Cross multiply
    577,433,716x = 1,362,684,958 × 1,362,684,958
  4. Step 4: Simplify right side
    577,433,716x = 1,856,910,294,759,461,888
  5. Step 5: Solve for x
    x = 1,856,910,294,759,461,888/577,433,716
  6. Step 6: Final answer
    x = 3,215,798,183.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.