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Finding the Third Proportional to 2,157,351,152,323 and 4,694,483,012,661

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Solution

The third proportional to 2,157,351,152,323 and 4,694,483,012,661 is: 10,215,384,144,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,351,152,323 : 4,694,483,012,661 = 4,694,483,012,661 : x
  2. Step 2: Convert to fraction form
    2,157,351,152,323/4,694,483,012,661 = 4,694,483,012,661/x
  3. Step 3: Cross multiply
    2,157,351,152,323x = 4,694,483,012,661 × 4,694,483,012,661
  4. Step 4: Simplify right side
    2,157,351,152,323x = 22,038,170,756,162,699,193,745,408
  5. Step 5: Solve for x
    x = 22,038,170,756,162,699,193,745,408/2,157,351,152,323
  6. Step 6: Final answer
    x = 10,215,384,144,779.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.