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Finding the Third Proportional to 5,196,670,740.75 and 10,668,832,779

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Solution

The third proportional to 5,196,670,740.75 and 10,668,832,779 is: 21,903,252,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,670,740.75 : 10,668,832,779 = 10,668,832,779 : x
  2. Step 2: Convert to fraction form
    5,196,670,740.75/10,668,832,779 = 10,668,832,779/x
  3. Step 3: Cross multiply
    5,196,670,740.75x = 10,668,832,779 × 10,668,832,779
  4. Step 4: Simplify right side
    5,196,670,740.75x = 113,823,992,866,264,858,624
  5. Step 5: Solve for x
    x = 113,823,992,866,264,858,624/5,196,670,740.75
  6. Step 6: Final answer
    x = 21,903,252,783.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.