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Finding the Third Proportional to 2,118,865,150 and 4,949,049,945

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Solution

The third proportional to 2,118,865,150 and 4,949,049,945 is: 11,559,534,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,865,150 : 4,949,049,945 = 4,949,049,945 : x
  2. Step 2: Convert to fraction form
    2,118,865,150/4,949,049,945 = 4,949,049,945/x
  3. Step 3: Cross multiply
    2,118,865,150x = 4,949,049,945 × 4,949,049,945
  4. Step 4: Simplify right side
    2,118,865,150x = 24,493,095,358,104,502,272
  5. Step 5: Solve for x
    x = 24,493,095,358,104,502,272/2,118,865,150
  6. Step 6: Final answer
    x = 11,559,534,762.33

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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.