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Finding the Third Proportional to 5,176,668,719 and 11,321,891,698

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Solution

The third proportional to 5,176,668,719 and 11,321,891,698 is: 24,762,108,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176,668,719 : 11,321,891,698 = 11,321,891,698 : x
  2. Step 2: Convert to fraction form
    5,176,668,719/11,321,891,698 = 11,321,891,698/x
  3. Step 3: Cross multiply
    5,176,668,719x = 11,321,891,698 × 11,321,891,698
  4. Step 4: Simplify right side
    5,176,668,719x = 128,185,231,621,241,323,520
  5. Step 5: Solve for x
    x = 128,185,231,621,241,323,520/5,176,668,719
  6. Step 6: Final answer
    x = 24,762,108,332.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.