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Finding the Third Proportional to 884,359,269 and 1,892,949,984

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Solution

The third proportional to 884,359,269 and 1,892,949,984 is: 4,051,814,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,359,269 : 1,892,949,984 = 1,892,949,984 : x
  2. Step 2: Convert to fraction form
    884,359,269/1,892,949,984 = 1,892,949,984/x
  3. Step 3: Cross multiply
    884,359,269x = 1,892,949,984 × 1,892,949,984
  4. Step 4: Simplify right side
    884,359,269x = 3,583,259,641,925,600,256
  5. Step 5: Solve for x
    x = 3,583,259,641,925,600,256/884,359,269
  6. Step 6: Final answer
    x = 4,051,814,423.77

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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.