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Finding the Third Proportional to 34,255,916 and 46,658,656

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Solution

The third proportional to 34,255,916 and 46,658,656 is: 63,551,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,255,916 : 46,658,656 = 46,658,656 : x
  2. Step 2: Convert to fraction form
    34,255,916/46,658,656 = 46,658,656/x
  3. Step 3: Cross multiply
    34,255,916x = 46,658,656 × 46,658,656
  4. Step 4: Simplify right side
    34,255,916x = 2,177,030,179,726,336
  5. Step 5: Solve for x
    x = 2,177,030,179,726,336/34,255,916
  6. Step 6: Final answer
    x = 63,551,947.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.