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Finding the Third Proportional to 31,794,219,841,732 and 69,159,116,005,592

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Solution

The third proportional to 31,794,219,841,732 and 69,159,116,005,592 is: 150,435,624,792,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794,219,841,732 : 69,159,116,005,592 = 69,159,116,005,592 : x
  2. Step 2: Convert to fraction form
    31,794,219,841,732/69,159,116,005,592 = 69,159,116,005,592/x
  3. Step 3: Cross multiply
    31,794,219,841,732x = 69,159,116,005,592 × 69,159,116,005,592
  4. Step 4: Simplify right side
    31,794,219,841,732x = 4,782,983,326,674,931,474,214,420,480
  5. Step 5: Solve for x
    x = 4,782,983,326,674,931,474,214,420,480/31,794,219,841,732
  6. Step 6: Final answer
    x = 150,435,624,792,307.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.