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Finding the Third Proportional to 254,735,770 and 545,819,492

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Solution

The third proportional to 254,735,770 and 545,819,492 is: 1,169,521,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,735,770 : 545,819,492 = 545,819,492 : x
  2. Step 2: Convert to fraction form
    254,735,770/545,819,492 = 545,819,492/x
  3. Step 3: Cross multiply
    254,735,770x = 545,819,492 × 545,819,492
  4. Step 4: Simplify right side
    254,735,770x = 297,918,917,847,138,048
  5. Step 5: Solve for x
    x = 297,918,917,847,138,048/254,735,770
  6. Step 6: Final answer
    x = 1,169,521,335.17

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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.