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Finding the Third Proportional to 31,905,108 and 69,584,706

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Solution

The third proportional to 31,905,108 and 69,584,706 is: 151,763,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905,108 : 69,584,706 = 69,584,706 : x
  2. Step 2: Convert to fraction form
    31,905,108/69,584,706 = 69,584,706/x
  3. Step 3: Cross multiply
    31,905,108x = 69,584,706 × 69,584,706
  4. Step 4: Simplify right side
    31,905,108x = 4,842,031,309,106,436
  5. Step 5: Solve for x
    x = 4,842,031,309,106,436/31,905,108
  6. Step 6: Final answer
    x = 151,763,514.14

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