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Finding the Third Proportional to 1,983,428,472 and 4,323,985,800

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Solution

The third proportional to 1,983,428,472 and 4,323,985,800 is: 9,426,532,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983,428,472 : 4,323,985,800 = 4,323,985,800 : x
  2. Step 2: Convert to fraction form
    1,983,428,472/4,323,985,800 = 4,323,985,800/x
  3. Step 3: Cross multiply
    1,983,428,472x = 4,323,985,800 × 4,323,985,800
  4. Step 4: Simplify right side
    1,983,428,472x = 18,696,853,198,601,641,984
  5. Step 5: Solve for x
    x = 18,696,853,198,601,641,984/1,983,428,472
  6. Step 6: Final answer
    x = 9,426,532,623.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.