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Finding the Third Proportional to 180,236,402 and 370,027,678

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Solution

The third proportional to 180,236,402 and 370,027,678 is: 759,671,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236,402 : 370,027,678 = 370,027,678 : x
  2. Step 2: Convert to fraction form
    180,236,402/370,027,678 = 370,027,678/x
  3. Step 3: Cross multiply
    180,236,402x = 370,027,678 × 370,027,678
  4. Step 4: Simplify right side
    180,236,402x = 136,920,482,486,071,680
  5. Step 5: Solve for x
    x = 136,920,482,486,071,680/180,236,402
  6. Step 6: Final answer
    x = 759,671,636.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.