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Finding the Third Proportional to 254,735,764 and 545,819,480

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Solution

The third proportional to 254,735,764 and 545,819,480 is: 1,169,521,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,735,764 : 545,819,480 = 545,819,480 : x
  2. Step 2: Convert to fraction form
    254,735,764/545,819,480 = 545,819,480/x
  3. Step 3: Cross multiply
    254,735,764x = 545,819,480 × 545,819,480
  4. Step 4: Simplify right side
    254,735,764x = 297,918,904,747,470,400
  5. Step 5: Solve for x
    x = 297,918,904,747,470,400/254,735,764
  6. Step 6: Final answer
    x = 1,169,521,311.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.