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Finding the Third Proportional to 47,275,122 and 103,518,312

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Solution

The third proportional to 47,275,122 and 103,518,312 is: 226,673,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275,122 : 103,518,312 = 103,518,312 : x
  2. Step 2: Convert to fraction form
    47,275,122/103,518,312 = 103,518,312/x
  3. Step 3: Cross multiply
    47,275,122x = 103,518,312 × 103,518,312
  4. Step 4: Simplify right side
    47,275,122x = 10,716,040,919,329,344
  5. Step 5: Solve for x
    x = 10,716,040,919,329,344/47,275,122
  6. Step 6: Final answer
    x = 226,673,998.20

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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.