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Finding the Third Proportional to 63,886,945 and 138,967,538.25

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Solution

The third proportional to 63,886,945 and 138,967,538.25 is: 302,283,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,886,945 : 138,967,538.25 = 138,967,538.25 : x
  2. Step 2: Convert to fraction form
    63,886,945/138,967,538.25 = 138,967,538.25/x
  3. Step 3: Cross multiply
    63,886,945x = 138,967,538.25 × 138,967,538.25
  4. Step 4: Simplify right side
    63,886,945x = 19,311,976,687,265,212
  5. Step 5: Solve for x
    x = 19,311,976,687,265,212/63,886,945
  6. Step 6: Final answer
    x = 302,283,615.02

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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.