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Finding the Third Proportional to 127,945,968 and 278,609,376

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Solution

The third proportional to 127,945,968 and 278,609,376 is: 606,687,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,945,968 : 278,609,376 = 278,609,376 : x
  2. Step 2: Convert to fraction form
    127,945,968/278,609,376 = 278,609,376/x
  3. Step 3: Cross multiply
    127,945,968x = 278,609,376 × 278,609,376
  4. Step 4: Simplify right side
    127,945,968x = 77,623,184,395,109,376
  5. Step 5: Solve for x
    x = 77,623,184,395,109,376/127,945,968
  6. Step 6: Final answer
    x = 606,687,225.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.