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Finding the Third Proportional to 69,306,012 and 106,537,698

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Solution

The third proportional to 69,306,012 and 106,537,698 is: 163,770,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306,012 : 106,537,698 = 106,537,698 : x
  2. Step 2: Convert to fraction form
    69,306,012/106,537,698 = 106,537,698/x
  3. Step 3: Cross multiply
    69,306,012x = 106,537,698 × 106,537,698
  4. Step 4: Simplify right side
    69,306,012x = 11,350,281,095,139,204
  5. Step 5: Solve for x
    x = 11,350,281,095,139,204/69,306,012
  6. Step 6: Final answer
    x = 163,770,512.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.