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Finding the Third Proportional to 7,347,836,586 and 11,346,642,486

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Solution

The third proportional to 7,347,836,586 and 11,346,642,486 is: 17,521,660,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347,836,586 : 11,346,642,486 = 11,346,642,486 : x
  2. Step 2: Convert to fraction form
    7,347,836,586/11,346,642,486 = 11,346,642,486/x
  3. Step 3: Cross multiply
    7,347,836,586x = 11,346,642,486 × 11,346,642,486
  4. Step 4: Simplify right side
    7,347,836,586x = 128,746,295,705,100,255,232
  5. Step 5: Solve for x
    x = 128,746,295,705,100,255,232/7,347,836,586
  6. Step 6: Final answer
    x = 17,521,660,178.24

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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.