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Finding the Third Proportional to 2,962,179,668 and 6,370,157,416

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Solution

The third proportional to 2,962,179,668 and 6,370,157,416 is: 13,699,002,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962,179,668 : 6,370,157,416 = 6,370,157,416 : x
  2. Step 2: Convert to fraction form
    2,962,179,668/6,370,157,416 = 6,370,157,416/x
  3. Step 3: Cross multiply
    2,962,179,668x = 6,370,157,416 × 6,370,157,416
  4. Step 4: Simplify right side
    2,962,179,668x = 40,578,905,504,619,798,528
  5. Step 5: Solve for x
    x = 40,578,905,504,619,798,528/2,962,179,668
  6. Step 6: Final answer
    x = 13,699,002,104.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.