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Finding the Third Proportional to 897,894,831,151.40 and 1,859,435,589,409.30

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Solution

The third proportional to 897,894,831,151.40 and 1,859,435,589,409.30 is: 3,850,674,479,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,894,831,151.40 : 1,859,435,589,409.30 = 1,859,435,589,409.30 : x
  2. Step 2: Convert to fraction form
    897,894,831,151.40/1,859,435,589,409.30 = 1,859,435,589,409.30/x
  3. Step 3: Cross multiply
    897,894,831,151.40x = 1,859,435,589,409.30 × 1,859,435,589,409.30
  4. Step 4: Simplify right side
    897,894,831,151.40x = 3,457,500,711,161,911,119,446,016
  5. Step 5: Solve for x
    x = 3,457,500,711,161,911,119,446,016/897,894,831,151.40
  6. Step 6: Final answer
    x = 3,850,674,479,023.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.