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Finding the Third Proportional to 233,416,616 and 540,317,920

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Solution

The third proportional to 233,416,616 and 540,317,920 is: 1,250,739,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,416,616 : 540,317,920 = 540,317,920 : x
  2. Step 2: Convert to fraction form
    233,416,616/540,317,920 = 540,317,920/x
  3. Step 3: Cross multiply
    233,416,616x = 540,317,920 × 540,317,920
  4. Step 4: Simplify right side
    233,416,616x = 291,943,454,673,126,400
  5. Step 5: Solve for x
    x = 291,943,454,673,126,400/233,416,616
  6. Step 6: Final answer
    x = 1,250,739,813.11

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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.