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Finding the Third Proportional to 971,164,967.63 and 2,136,040,179.75

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Solution

The third proportional to 971,164,967.63 and 2,136,040,179.75 is: 4,698,138,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,164,967.63 : 2,136,040,179.75 = 2,136,040,179.75 : x
  2. Step 2: Convert to fraction form
    971,164,967.63/2,136,040,179.75 = 2,136,040,179.75/x
  3. Step 3: Cross multiply
    971,164,967.63x = 2,136,040,179.75 × 2,136,040,179.75
  4. Step 4: Simplify right side
    971,164,967.63x = 4,562,667,649,506,412,544
  5. Step 5: Solve for x
    x = 4,562,667,649,506,412,544/971,164,967.63
  6. Step 6: Final answer
    x = 4,698,138,628.98

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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.