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Finding the Third Proportional to 233,416,516 and 540,317,674

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Solution

The third proportional to 233,416,516 and 540,317,674 is: 1,250,739,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,416,516 : 540,317,674 = 540,317,674 : x
  2. Step 2: Convert to fraction form
    233,416,516/540,317,674 = 540,317,674/x
  3. Step 3: Cross multiply
    233,416,516x = 540,317,674 × 540,317,674
  4. Step 4: Simplify right side
    233,416,516x = 291,943,188,836,770,304
  5. Step 5: Solve for x
    x = 291,943,188,836,770,304/233,416,516
  6. Step 6: Final answer
    x = 1,250,739,210.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.