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Finding the Third Proportional to 2,361,304,355 and 5,167,426,689

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Solution

The third proportional to 2,361,304,355 and 5,167,426,689 is: 11,308,283,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,304,355 : 5,167,426,689 = 5,167,426,689 : x
  2. Step 2: Convert to fraction form
    2,361,304,355/5,167,426,689 = 5,167,426,689/x
  3. Step 3: Cross multiply
    2,361,304,355x = 5,167,426,689 × 5,167,426,689
  4. Step 4: Simplify right side
    2,361,304,355x = 26,702,298,586,189,504,512
  5. Step 5: Solve for x
    x = 26,702,298,586,189,504,512/2,361,304,355
  6. Step 6: Final answer
    x = 11,308,283,292.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.