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Finding the Third Proportional to 48,347,284 and 74,971,824

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Solution

The third proportional to 48,347,284 and 74,971,824 is: 116,258,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,347,284 : 74,971,824 = 74,971,824 : x
  2. Step 2: Convert to fraction form
    48,347,284/74,971,824 = 74,971,824/x
  3. Step 3: Cross multiply
    48,347,284x = 74,971,824 × 74,971,824
  4. Step 4: Simplify right side
    48,347,284x = 5,620,774,393,886,976
  5. Step 5: Solve for x
    x = 5,620,774,393,886,976/48,347,284
  6. Step 6: Final answer
    x = 116,258,327.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.