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Finding the Third Proportional to 255,780,029 and 562,578,394

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Solution

The third proportional to 255,780,029 and 562,578,394 is: 1,237,369,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,780,029 : 562,578,394 = 562,578,394 : x
  2. Step 2: Convert to fraction form
    255,780,029/562,578,394 = 562,578,394/x
  3. Step 3: Cross multiply
    255,780,029x = 562,578,394 × 562,578,394
  4. Step 4: Simplify right side
    255,780,029x = 316,494,449,395,619,264
  5. Step 5: Solve for x
    x = 316,494,449,395,619,264/255,780,029
  6. Step 6: Final answer
    x = 1,237,369,667.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.