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Finding the Third Proportional to 46,939,664 and 74,690,232

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Solution

The third proportional to 46,939,664 and 74,690,232 is: 118,846,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,939,664 : 74,690,232 = 74,690,232 : x
  2. Step 2: Convert to fraction form
    46,939,664/74,690,232 = 74,690,232/x
  3. Step 3: Cross multiply
    46,939,664x = 74,690,232 × 74,690,232
  4. Step 4: Simplify right side
    46,939,664x = 5,578,630,756,213,824
  5. Step 5: Solve for x
    x = 5,578,630,756,213,824/46,939,664
  6. Step 6: Final answer
    x = 118,846,840.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.