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Finding the Third Proportional to 38,353,833 and 83,881,982.63

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Solution

The third proportional to 38,353,833 and 83,881,982.63 is: 183,454,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,353,833 : 83,881,982.63 = 83,881,982.63 : x
  2. Step 2: Convert to fraction form
    38,353,833/83,881,982.63 = 83,881,982.63/x
  3. Step 3: Cross multiply
    38,353,833x = 83,881,982.63 × 83,881,982.63
  4. Step 4: Simplify right side
    38,353,833x = 7,036,187,009,100,802
  5. Step 5: Solve for x
    x = 7,036,187,009,100,802/38,353,833
  6. Step 6: Final answer
    x = 183,454,597.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.