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Finding the Third Proportional to 884,359,152 and 1,892,949,745

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Solution

The third proportional to 884,359,152 and 1,892,949,745 is: 4,051,813,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,359,152 : 1,892,949,745 = 1,892,949,745 : x
  2. Step 2: Convert to fraction form
    884,359,152/1,892,949,745 = 1,892,949,745/x
  3. Step 3: Cross multiply
    884,359,152x = 1,892,949,745 × 1,892,949,745
  4. Step 4: Simplify right side
    884,359,152x = 3,583,258,737,095,564,800
  5. Step 5: Solve for x
    x = 3,583,258,737,095,564,800/884,359,152
  6. Step 6: Final answer
    x = 4,051,813,936.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.