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Finding the Third Proportional to 274,512,878 and 418,201,506

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Solution

The third proportional to 274,512,878 and 418,201,506 is: 637,101,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,512,878 : 418,201,506 = 418,201,506 : x
  2. Step 2: Convert to fraction form
    274,512,878/418,201,506 = 418,201,506/x
  3. Step 3: Cross multiply
    274,512,878x = 418,201,506 × 418,201,506
  4. Step 4: Simplify right side
    274,512,878x = 174,892,499,620,668,032
  5. Step 5: Solve for x
    x = 174,892,499,620,668,032/274,512,878
  6. Step 6: Final answer
    x = 637,101,256.94

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