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Finding the Third Proportional to 254,735,774 and 545,819,500

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Solution

The third proportional to 254,735,774 and 545,819,500 is: 1,169,521,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,735,774 : 545,819,500 = 545,819,500 : x
  2. Step 2: Convert to fraction form
    254,735,774/545,819,500 = 545,819,500/x
  3. Step 3: Cross multiply
    254,735,774x = 545,819,500 × 545,819,500
  4. Step 4: Simplify right side
    254,735,774x = 297,918,926,580,249,984
  5. Step 5: Solve for x
    x = 297,918,926,580,249,984/254,735,774
  6. Step 6: Final answer
    x = 1,169,521,351.09

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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.