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Finding the Third Proportional to 587,054,715.75 and 1,258,144,539.75

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Solution

The third proportional to 587,054,715.75 and 1,258,144,539.75 is: 2,696,388,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,054,715.75 : 1,258,144,539.75 = 1,258,144,539.75 : x
  2. Step 2: Convert to fraction form
    587,054,715.75/1,258,144,539.75 = 1,258,144,539.75/x
  3. Step 3: Cross multiply
    587,054,715.75x = 1,258,144,539.75 × 1,258,144,539.75
  4. Step 4: Simplify right side
    587,054,715.75x = 1,582,927,682,902,739,456
  5. Step 5: Solve for x
    x = 1,582,927,682,902,739,456/587,054,715.75
  6. Step 6: Final answer
    x = 2,696,388,667.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.