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Finding the Third Proportional to 11,848,724,688 and 25,480,641,696

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Solution

The third proportional to 11,848,724,688 and 25,480,641,696 is: 54,796,032,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848,724,688 : 25,480,641,696 = 25,480,641,696 : x
  2. Step 2: Convert to fraction form
    11,848,724,688/25,480,641,696 = 25,480,641,696/x
  3. Step 3: Cross multiply
    11,848,724,688x = 25,480,641,696 × 25,480,641,696
  4. Step 4: Simplify right side
    11,848,724,688x = 649,263,101,239,933,796,352
  5. Step 5: Solve for x
    x = 649,263,101,239,933,796,352/11,848,724,688
  6. Step 6: Final answer
    x = 54,796,032,344.10

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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.