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Finding the Third Proportional to 45,544,549,256 and 100,197,849,064

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Solution

The third proportional to 45,544,549,256 and 100,197,849,064 is: 220,434,917,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,544,549,256 : 100,197,849,064 = 100,197,849,064 : x
  2. Step 2: Convert to fraction form
    45,544,549,256/100,197,849,064 = 100,197,849,064/x
  3. Step 3: Cross multiply
    45,544,549,256x = 100,197,849,064 × 100,197,849,064
  4. Step 4: Simplify right side
    45,544,549,256x = 10,039,608,957,052,125,184,000
  5. Step 5: Solve for x
    x = 10,039,608,957,052,125,184,000/45,544,549,256
  6. Step 6: Final answer
    x = 220,434,917,483.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.