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Finding the Third Proportional to 2,118,865,138.88 and 4,949,049,918.38

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Solution

The third proportional to 2,118,865,138.88 and 4,949,049,918.38 is: 11,559,534,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,865,138.88 : 4,949,049,918.38 = 4,949,049,918.38 : x
  2. Step 2: Convert to fraction form
    2,118,865,138.88/4,949,049,918.38 = 4,949,049,918.38/x
  3. Step 3: Cross multiply
    2,118,865,138.88x = 4,949,049,918.38 × 4,949,049,918.38
  4. Step 4: Simplify right side
    2,118,865,138.88x = 24,493,095,094,567,596,032
  5. Step 5: Solve for x
    x = 24,493,095,094,567,596,032/2,118,865,138.88
  6. Step 6: Final answer
    x = 11,559,534,698.64

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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.