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Finding the Third Proportional to 38,555,426 and 83,458,984

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Solution

The third proportional to 38,555,426 and 83,458,984 is: 180,659,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,555,426 : 83,458,984 = 83,458,984 : x
  2. Step 2: Convert to fraction form
    38,555,426/83,458,984 = 83,458,984/x
  3. Step 3: Cross multiply
    38,555,426x = 83,458,984 × 83,458,984
  4. Step 4: Simplify right side
    38,555,426x = 6,965,402,010,312,256
  5. Step 5: Solve for x
    x = 6,965,402,010,312,256/38,555,426
  6. Step 6: Final answer
    x = 180,659,448.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.