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Finding the Third Proportional to 10,610,687,085,264 and 16,299,313,460,640

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Solution

The third proportional to 10,610,687,085,264 and 16,299,313,460,640 is: 25,037,739,512,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610,687,085,264 : 16,299,313,460,640 = 16,299,313,460,640 : x
  2. Step 2: Convert to fraction form
    10,610,687,085,264/16,299,313,460,640 = 16,299,313,460,640/x
  3. Step 3: Cross multiply
    10,610,687,085,264x = 16,299,313,460,640 × 16,299,313,460,640
  4. Step 4: Simplify right side
    10,610,687,085,264x = 265,667,619,288,200,292,276,895,744
  5. Step 5: Solve for x
    x = 265,667,619,288,200,292,276,895,744/10,610,687,085,264
  6. Step 6: Final answer
    x = 25,037,739,512,378.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.