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Finding the Third Proportional to 47,638,017 and 103,340,241

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Solution

The third proportional to 47,638,017 and 103,340,241 is: 224,174,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,638,017 : 103,340,241 = 103,340,241 : x
  2. Step 2: Convert to fraction form
    47,638,017/103,340,241 = 103,340,241/x
  3. Step 3: Cross multiply
    47,638,017x = 103,340,241 × 103,340,241
  4. Step 4: Simplify right side
    47,638,017x = 10,679,205,409,938,080
  5. Step 5: Solve for x
    x = 10,679,205,409,938,080/47,638,017
  6. Step 6: Final answer
    x = 224,174,012.32

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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.