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Finding the Third Proportional to 183,009,638 and 278,802,710

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Solution

The third proportional to 183,009,638 and 278,802,710 is: 424,736,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,009,638 : 278,802,710 = 278,802,710 : x
  2. Step 2: Convert to fraction form
    183,009,638/278,802,710 = 278,802,710/x
  3. Step 3: Cross multiply
    183,009,638x = 278,802,710 × 278,802,710
  4. Step 4: Simplify right side
    183,009,638x = 77,730,951,103,344,096
  5. Step 5: Solve for x
    x = 77,730,951,103,344,096/183,009,638
  6. Step 6: Final answer
    x = 424,736,926.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.