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Finding the Third Proportional to 2,520,445,408,653 and 5,423,162,905,125

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Solution

The third proportional to 2,520,445,408,653 and 5,423,162,905,125 is: 11,668,848,606,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520,445,408,653 : 5,423,162,905,125 = 5,423,162,905,125 : x
  2. Step 2: Convert to fraction form
    2,520,445,408,653/5,423,162,905,125 = 5,423,162,905,125/x
  3. Step 3: Cross multiply
    2,520,445,408,653x = 5,423,162,905,125 × 5,423,162,905,125
  4. Step 4: Simplify right side
    2,520,445,408,653x = 29,410,695,895,523,830,121,103,360
  5. Step 5: Solve for x
    x = 29,410,695,895,523,830,121,103,360/2,520,445,408,653
  6. Step 6: Final answer
    x = 11,668,848,606,898.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.