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Finding the Third Proportional to 43,097,570,676 and 100,695,371,535

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Solution

The third proportional to 43,097,570,676 and 100,695,371,535 is: 235,269,823,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,097,570,676 : 100,695,371,535 = 100,695,371,535 : x
  2. Step 2: Convert to fraction form
    43,097,570,676/100,695,371,535 = 100,695,371,535/x
  3. Step 3: Cross multiply
    43,097,570,676x = 100,695,371,535 × 100,695,371,535
  4. Step 4: Simplify right side
    43,097,570,676x = 10,139,557,848,571,688,517,632
  5. Step 5: Solve for x
    x = 10,139,557,848,571,688,517,632/43,097,570,676
  6. Step 6: Final answer
    x = 235,269,823,554.54

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.