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Finding the Third Proportional to 4,075,296,424 and 8,804,924,256

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Solution

The third proportional to 4,075,296,424 and 8,804,924,256 is: 19,023,571,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075,296,424 : 8,804,924,256 = 8,804,924,256 : x
  2. Step 2: Convert to fraction form
    4,075,296,424/8,804,924,256 = 8,804,924,256/x
  3. Step 3: Cross multiply
    4,075,296,424x = 8,804,924,256 × 8,804,924,256
  4. Step 4: Simplify right side
    4,075,296,424x = 77,526,691,153,897,160,704
  5. Step 5: Solve for x
    x = 77,526,691,153,897,160,704/4,075,296,424
  6. Step 6: Final answer
    x = 19,023,571,070.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.