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Finding the Third Proportional to 43,097,570,686 and 100,695,371,560

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Solution

The third proportional to 43,097,570,686 and 100,695,371,560 is: 235,269,823,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,097,570,686 : 100,695,371,560 = 100,695,371,560 : x
  2. Step 2: Convert to fraction form
    43,097,570,686/100,695,371,560 = 100,695,371,560/x
  3. Step 3: Cross multiply
    43,097,570,686x = 100,695,371,560 × 100,695,371,560
  4. Step 4: Simplify right side
    43,097,570,686x = 10,139,557,853,606,457,638,912
  5. Step 5: Solve for x
    x = 10,139,557,853,606,457,638,912/43,097,570,686
  6. Step 6: Final answer
    x = 235,269,823,616.77

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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.