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Finding the Third Proportional to 11,694,478,140 and 25,252,853,280

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Solution

The third proportional to 11,694,478,140 and 25,252,853,280 is: 54,530,573,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694,478,140 : 25,252,853,280 = 25,252,853,280 : x
  2. Step 2: Convert to fraction form
    11,694,478,140/25,252,853,280 = 25,252,853,280/x
  3. Step 3: Cross multiply
    11,694,478,140x = 25,252,853,280 × 25,252,853,280
  4. Step 4: Simplify right side
    11,694,478,140x = 637,706,598,781,206,790,144
  5. Step 5: Solve for x
    x = 637,706,598,781,206,790,144/11,694,478,140
  6. Step 6: Final answer
    x = 54,530,573,416.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.