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Finding the Third Proportional to 688,727,741,364 and 969,457,796,262

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Solution

The third proportional to 688,727,741,364 and 969,457,796,262 is: 1,364,615,307,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,727,741,364 : 969,457,796,262 = 969,457,796,262 : x
  2. Step 2: Convert to fraction form
    688,727,741,364/969,457,796,262 = 969,457,796,262/x
  3. Step 3: Cross multiply
    688,727,741,364x = 969,457,796,262 × 969,457,796,262
  4. Step 4: Simplify right side
    688,727,741,364x = 939,848,418,733,173,529,116,672
  5. Step 5: Solve for x
    x = 939,848,418,733,173,529,116,672/688,727,741,364
  6. Step 6: Final answer
    x = 1,364,615,307,743.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.