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Finding the Third Proportional to 843,586,607,592 and 1,848,338,244,120

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Solution

The third proportional to 843,586,607,592 and 1,848,338,244,120 is: 4,049,796,706,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,586,607,592 : 1,848,338,244,120 = 1,848,338,244,120 : x
  2. Step 2: Convert to fraction form
    843,586,607,592/1,848,338,244,120 = 1,848,338,244,120/x
  3. Step 3: Cross multiply
    843,586,607,592x = 1,848,338,244,120 × 1,848,338,244,120
  4. Step 4: Simplify right side
    843,586,607,592x = 3,416,354,264,676,604,787,556,352
  5. Step 5: Solve for x
    x = 3,416,354,264,676,604,787,556,352/843,586,607,592
  6. Step 6: Final answer
    x = 4,049,796,706,029.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.