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Finding the Third Proportional to 46,787,742 and 104,333,436

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Solution

The third proportional to 46,787,742 and 104,333,436 is: 232,656,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,787,742 : 104,333,436 = 104,333,436 : x
  2. Step 2: Convert to fraction form
    46,787,742/104,333,436 = 104,333,436/x
  3. Step 3: Cross multiply
    46,787,742x = 104,333,436 × 104,333,436
  4. Step 4: Simplify right side
    46,787,742x = 10,885,465,867,566,096
  5. Step 5: Solve for x
    x = 10,885,465,867,566,096/46,787,742
  6. Step 6: Final answer
    x = 232,656,362.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.