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Finding the Third Proportional to 2,190,433,327,998.80 and 4,682,314,897,789.50

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Solution

The third proportional to 2,190,433,327,998.80 and 4,682,314,897,789.50 is: 10,009,011,697,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,433,327,998.80 : 4,682,314,897,789.50 = 4,682,314,897,789.50 : x
  2. Step 2: Convert to fraction form
    2,190,433,327,998.80/4,682,314,897,789.50 = 4,682,314,897,789.50/x
  3. Step 3: Cross multiply
    2,190,433,327,998.80x = 4,682,314,897,789.50 × 4,682,314,897,789.50
  4. Step 4: Simplify right side
    2,190,433,327,998.80x = 21,924,072,802,061,495,199,334,400
  5. Step 5: Solve for x
    x = 21,924,072,802,061,495,199,334,400/2,190,433,327,998.80
  6. Step 6: Final answer
    x = 10,009,011,697,284.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.