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Finding the Third Proportional to 4,858,478,294,652 and 10,119,089,980,558

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Solution

The third proportional to 4,858,478,294,652 and 10,119,089,980,558 is: 21,075,731,087,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858,478,294,652 : 10,119,089,980,558 = 10,119,089,980,558 : x
  2. Step 2: Convert to fraction form
    4,858,478,294,652/10,119,089,980,558 = 10,119,089,980,558/x
  3. Step 3: Cross multiply
    4,858,478,294,652x = 10,119,089,980,558 × 10,119,089,980,558
  4. Step 4: Simplify right side
    4,858,478,294,652x = 102,395,982,034,629,304,466,276,352
  5. Step 5: Solve for x
    x = 102,395,982,034,629,304,466,276,352/4,858,478,294,652
  6. Step 6: Final answer
    x = 21,075,731,087,929.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.