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Finding the Third Proportional to 71,742,475,071 and 154,131,764,385

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Solution

The third proportional to 71,742,475,071 and 154,131,764,385 is: 331,137,178,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,742,475,071 : 154,131,764,385 = 154,131,764,385 : x
  2. Step 2: Convert to fraction form
    71,742,475,071/154,131,764,385 = 154,131,764,385/x
  3. Step 3: Cross multiply
    71,742,475,071x = 154,131,764,385 × 154,131,764,385
  4. Step 4: Simplify right side
    71,742,475,071x = 23,756,600,792,433,152,753,664
  5. Step 5: Solve for x
    x = 23,756,600,792,433,152,753,664/71,742,475,071
  6. Step 6: Final answer
    x = 331,137,178,762.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.