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Finding the Third Proportional to 2,118,865,148 and 4,949,049,940

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Solution

The third proportional to 2,118,865,148 and 4,949,049,940 is: 11,559,534,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,865,148 : 4,949,049,940 = 4,949,049,940 : x
  2. Step 2: Convert to fraction form
    2,118,865,148/4,949,049,940 = 4,949,049,940/x
  3. Step 3: Cross multiply
    2,118,865,148x = 4,949,049,940 × 4,949,049,940
  4. Step 4: Simplify right side
    2,118,865,148x = 24,493,095,308,614,004,736
  5. Step 5: Solve for x
    x = 24,493,095,308,614,004,736/2,118,865,148
  6. Step 6: Final answer
    x = 11,559,534,749.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.