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Finding the Third Proportional to 254,735,768 and 545,819,488

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Solution

The third proportional to 254,735,768 and 545,819,488 is: 1,169,521,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,735,768 : 545,819,488 = 545,819,488 : x
  2. Step 2: Convert to fraction form
    254,735,768/545,819,488 = 545,819,488/x
  3. Step 3: Cross multiply
    254,735,768x = 545,819,488 × 545,819,488
  4. Step 4: Simplify right side
    254,735,768x = 297,918,913,480,582,144
  5. Step 5: Solve for x
    x = 297,918,913,480,582,144/254,735,768
  6. Step 6: Final answer
    x = 1,169,521,327.22

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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.