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Finding the Third Proportional to 281,312,994,838.50 and 603,463,167,405

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Solution

The third proportional to 281,312,994,838.50 and 603,463,167,405 is: 1,294,528,873,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,312,994,838.50 : 603,463,167,405 = 603,463,167,405 : x
  2. Step 2: Convert to fraction form
    281,312,994,838.50/603,463,167,405 = 603,463,167,405/x
  3. Step 3: Cross multiply
    281,312,994,838.50x = 603,463,167,405 × 603,463,167,405
  4. Step 4: Simplify right side
    281,312,994,838.50x = 364,167,794,414,475,058,085,888
  5. Step 5: Solve for x
    x = 364,167,794,414,475,058,085,888/281,312,994,838.50
  6. Step 6: Final answer
    x = 1,294,528,873,874.25

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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.