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Finding the Third Proportional to 38,360,017 and 82,161,289

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Solution

The third proportional to 38,360,017 and 82,161,289 is: 175,976,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,360,017 : 82,161,289 = 82,161,289 : x
  2. Step 2: Convert to fraction form
    38,360,017/82,161,289 = 82,161,289/x
  3. Step 3: Cross multiply
    38,360,017x = 82,161,289 × 82,161,289
  4. Step 4: Simplify right side
    38,360,017x = 6,750,477,410,141,521
  5. Step 5: Solve for x
    x = 6,750,477,410,141,521/38,360,017
  6. Step 6: Final answer
    x = 175,976,913.93

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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.