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Finding the Third Proportional to 2,258,409,120 and 4,892,015,586

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Solution

The third proportional to 2,258,409,120 and 4,892,015,586 is: 10,596,758,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,409,120 : 4,892,015,586 = 4,892,015,586 : x
  2. Step 2: Convert to fraction form
    2,258,409,120/4,892,015,586 = 4,892,015,586/x
  3. Step 3: Cross multiply
    2,258,409,120x = 4,892,015,586 × 4,892,015,586
  4. Step 4: Simplify right side
    2,258,409,120x = 23,931,816,493,666,922,496
  5. Step 5: Solve for x
    x = 23,931,816,493,666,922,496/2,258,409,120
  6. Step 6: Final answer
    x = 10,596,758,701.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.