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Finding the Third Proportional to 233,416,512 and 540,317,664

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Solution

The third proportional to 233,416,512 and 540,317,664 is: 1,250,739,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,416,512 : 540,317,664 = 540,317,664 : x
  2. Step 2: Convert to fraction form
    233,416,512/540,317,664 = 540,317,664/x
  3. Step 3: Cross multiply
    233,416,512x = 540,317,664 × 540,317,664
  4. Step 4: Simplify right side
    233,416,512x = 291,943,178,030,416,896
  5. Step 5: Solve for x
    x = 291,943,178,030,416,896/233,416,512
  6. Step 6: Final answer
    x = 1,250,739,185.20

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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.