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Finding the Third Proportional to 79,943,879,802 and 177,762,069,708

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Solution

The third proportional to 79,943,879,802 and 177,762,069,708 is: 395,269,200,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,943,879,802 : 177,762,069,708 = 177,762,069,708 : x
  2. Step 2: Convert to fraction form
    79,943,879,802/177,762,069,708 = 177,762,069,708/x
  3. Step 3: Cross multiply
    79,943,879,802x = 177,762,069,708 × 177,762,069,708
  4. Step 4: Simplify right side
    79,943,879,802x = 31,599,353,426,871,853,252,608
  5. Step 5: Solve for x
    x = 31,599,353,426,871,853,252,608/79,943,879,802
  6. Step 6: Final answer
    x = 395,269,200,158.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.