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Finding the Third Proportional to 34,111,232 and 69,592,696

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Solution

The third proportional to 34,111,232 and 69,592,696 is: 141,980,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111,232 : 69,592,696 = 69,592,696 : x
  2. Step 2: Convert to fraction form
    34,111,232/69,592,696 = 69,592,696/x
  3. Step 3: Cross multiply
    34,111,232x = 69,592,696 × 69,592,696
  4. Step 4: Simplify right side
    34,111,232x = 4,843,143,336,548,416
  5. Step 5: Solve for x
    x = 4,843,143,336,548,416/34,111,232
  6. Step 6: Final answer
    x = 141,980,897.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.