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Finding the Third Proportional to 83,672,684 and 180,790,128

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Solution

The third proportional to 83,672,684 and 180,790,128 is: 390,630,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672,684 : 180,790,128 = 180,790,128 : x
  2. Step 2: Convert to fraction form
    83,672,684/180,790,128 = 180,790,128/x
  3. Step 3: Cross multiply
    83,672,684x = 180,790,128 × 180,790,128
  4. Step 4: Simplify right side
    83,672,684x = 32,685,070,382,256,384
  5. Step 5: Solve for x
    x = 32,685,070,382,256,384/83,672,684
  6. Step 6: Final answer
    x = 390,630,117.50

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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.