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Finding the Third Proportional to 43,097,570,680 and 100,695,371,545

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Solution

The third proportional to 43,097,570,680 and 100,695,371,545 is: 235,269,823,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,097,570,680 : 100,695,371,545 = 100,695,371,545 : x
  2. Step 2: Convert to fraction form
    43,097,570,680/100,695,371,545 = 100,695,371,545/x
  3. Step 3: Cross multiply
    43,097,570,680x = 100,695,371,545 × 100,695,371,545
  4. Step 4: Simplify right side
    43,097,570,680x = 10,139,557,850,585,596,166,144
  5. Step 5: Solve for x
    x = 10,139,557,850,585,596,166,144/43,097,570,680
  6. Step 6: Final answer
    x = 235,269,823,579.43

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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.