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Finding the Third Proportional to 34,740,696 and 46,315,656

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Solution

The third proportional to 34,740,696 and 46,315,656 is: 61,747,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740,696 : 46,315,656 = 46,315,656 : x
  2. Step 2: Convert to fraction form
    34,740,696/46,315,656 = 46,315,656/x
  3. Step 3: Cross multiply
    34,740,696x = 46,315,656 × 46,315,656
  4. Step 4: Simplify right side
    34,740,696x = 2,145,139,990,710,336
  5. Step 5: Solve for x
    x = 2,145,139,990,710,336/34,740,696
  6. Step 6: Final answer
    x = 61,747,179.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.