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Finding the Third Proportional to 46,211,743 and 100,129,321

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Solution

The third proportional to 46,211,743 and 100,129,321 is: 216,955,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,211,743 : 100,129,321 = 100,129,321 : x
  2. Step 2: Convert to fraction form
    46,211,743/100,129,321 = 100,129,321/x
  3. Step 3: Cross multiply
    46,211,743x = 100,129,321 × 100,129,321
  4. Step 4: Simplify right side
    46,211,743x = 10,025,880,923,921,040
  5. Step 5: Solve for x
    x = 10,025,880,923,921,040/46,211,743
  6. Step 6: Final answer
    x = 216,955,264.46

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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.