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Finding the Third Proportional to 308,701,637,904 and 668,688,040,896

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Solution

The third proportional to 308,701,637,904 and 668,688,040,896 is: 1,448,465,576,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,701,637,904 : 668,688,040,896 = 668,688,040,896 : x
  2. Step 2: Convert to fraction form
    308,701,637,904/668,688,040,896 = 668,688,040,896/x
  3. Step 3: Cross multiply
    308,701,637,904x = 668,688,040,896 × 668,688,040,896
  4. Step 4: Simplify right side
    308,701,637,904x = 447,143,696,037,330,548,686,848
  5. Step 5: Solve for x
    x = 447,143,696,037,330,548,686,848/308,701,637,904
  6. Step 6: Final answer
    x = 1,448,465,576,902.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.