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Finding the Third Proportional to 2,211,483,894 and 4,839,512,556

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Solution

The third proportional to 2,211,483,894 and 4,839,512,556 is: 10,590,573,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,483,894 : 4,839,512,556 = 4,839,512,556 : x
  2. Step 2: Convert to fraction form
    2,211,483,894/4,839,512,556 = 4,839,512,556/x
  3. Step 3: Cross multiply
    2,211,483,894x = 4,839,512,556 × 4,839,512,556
  4. Step 4: Simplify right side
    2,211,483,894x = 23,420,881,779,681,652,736
  5. Step 5: Solve for x
    x = 23,420,881,779,681,652,736/2,211,483,894
  6. Step 6: Final answer
    x = 10,590,573,073.23

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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.