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Finding the Third Proportional to 180,072,823 and 387,445,968

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Solution

The third proportional to 180,072,823 and 387,445,968 is: 833,631,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,072,823 : 387,445,968 = 387,445,968 : x
  2. Step 2: Convert to fraction form
    180,072,823/387,445,968 = 387,445,968/x
  3. Step 3: Cross multiply
    180,072,823x = 387,445,968 × 387,445,968
  4. Step 4: Simplify right side
    180,072,823x = 150,114,378,119,457,024
  5. Step 5: Solve for x
    x = 150,114,378,119,457,024/180,072,823
  6. Step 6: Final answer
    x = 833,631,503.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.