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Finding the Third Proportional to 842,178,366.28 and 1,877,999,931.84

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Solution

The third proportional to 842,178,366.28 and 1,877,999,931.84 is: 4,187,810,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,178,366.28 : 1,877,999,931.84 = 1,877,999,931.84 : x
  2. Step 2: Convert to fraction form
    842,178,366.28/1,877,999,931.84 = 1,877,999,931.84/x
  3. Step 3: Cross multiply
    842,178,366.28x = 1,877,999,931.84 × 1,877,999,931.84
  4. Step 4: Simplify right side
    842,178,366.28x = 3,526,883,744,005,317,632
  5. Step 5: Solve for x
    x = 3,526,883,744,005,317,632/842,178,366.28
  6. Step 6: Final answer
    x = 4,187,810,902.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.