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Finding the Third Proportional to 1,546,881,335 and 2,453,449,823

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Solution

The third proportional to 1,546,881,335 and 2,453,449,823 is: 3,891,323,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,881,335 : 2,453,449,823 = 2,453,449,823 : x
  2. Step 2: Convert to fraction form
    1,546,881,335/2,453,449,823 = 2,453,449,823/x
  3. Step 3: Cross multiply
    1,546,881,335x = 2,453,449,823 × 2,453,449,823
  4. Step 4: Simplify right side
    1,546,881,335x = 6,019,416,033,978,731,520
  5. Step 5: Solve for x
    x = 6,019,416,033,978,731,520/1,546,881,335
  6. Step 6: Final answer
    x = 3,891,323,721.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.