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Finding the Third Proportional to 11,629,414,373 and 25,363,630,360

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Solution

The third proportional to 11,629,414,373 and 25,363,630,360 is: 55,317,810,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629,414,373 : 25,363,630,360 = 25,363,630,360 : x
  2. Step 2: Convert to fraction form
    11,629,414,373/25,363,630,360 = 25,363,630,360/x
  3. Step 3: Cross multiply
    11,629,414,373x = 25,363,630,360 × 25,363,630,360
  4. Step 4: Simplify right side
    11,629,414,373x = 643,313,745,038,713,683,968
  5. Step 5: Solve for x
    x = 643,313,745,038,713,683,968/11,629,414,373
  6. Step 6: Final answer
    x = 55,317,810,889.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.