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Finding the Third Proportional to 30,481,025 and 46,436,130

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Solution

The third proportional to 30,481,025 and 46,436,130 is: 70,742,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481,025 : 46,436,130 = 46,436,130 : x
  2. Step 2: Convert to fraction form
    30,481,025/46,436,130 = 46,436,130/x
  3. Step 3: Cross multiply
    30,481,025x = 46,436,130 × 46,436,130
  4. Step 4: Simplify right side
    30,481,025x = 2,156,314,169,376,900
  5. Step 5: Solve for x
    x = 2,156,314,169,376,900/30,481,025
  6. Step 6: Final answer
    x = 70,742,836.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.