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Finding the Third Proportional to 17,775,054 and 38,069,554.50

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Solution

The third proportional to 17,775,054 and 38,069,554.50 is: 81,535,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775,054 : 38,069,554.50 = 38,069,554.50 : x
  2. Step 2: Convert to fraction form
    17,775,054/38,069,554.50 = 38,069,554.50/x
  3. Step 3: Cross multiply
    17,775,054x = 38,069,554.50 × 38,069,554.50
  4. Step 4: Simplify right side
    17,775,054x = 1,449,290,979,828,470.25
  5. Step 5: Solve for x
    x = 1,449,290,979,828,470.25/17,775,054
  6. Step 6: Final answer
    x = 81,535,109.81

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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.