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Finding the Third Proportional to 16,668,216,300,520 and 36,106,174,321,976

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Solution

The third proportional to 16,668,216,300,520 and 36,106,174,321,976 is: 78,212,077,445,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,668,216,300,520 : 36,106,174,321,976 = 36,106,174,321,976 : x
  2. Step 2: Convert to fraction form
    16,668,216,300,520/36,106,174,321,976 = 36,106,174,321,976/x
  3. Step 3: Cross multiply
    16,668,216,300,520x = 36,106,174,321,976 × 36,106,174,321,976
  4. Step 4: Simplify right side
    16,668,216,300,520x = 1,303,655,824,168,919,045,716,836,352
  5. Step 5: Solve for x
    x = 1,303,655,824,168,919,045,716,836,352/16,668,216,300,520
  6. Step 6: Final answer
    x = 78,212,077,445,158.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.