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Finding the Third Proportional to 46,824,096 and 72,062,216

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Solution

The third proportional to 46,824,096 and 72,062,216 is: 110,903,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,824,096 : 72,062,216 = 72,062,216 : x
  2. Step 2: Convert to fraction form
    46,824,096/72,062,216 = 72,062,216/x
  3. Step 3: Cross multiply
    46,824,096x = 72,062,216 × 72,062,216
  4. Step 4: Simplify right side
    46,824,096x = 5,192,962,974,830,656
  5. Step 5: Solve for x
    x = 5,192,962,974,830,656/46,824,096
  6. Step 6: Final answer
    x = 110,903,646.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.