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Finding the Third Proportional to 83,276,004 and 180,438,372

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Solution

The third proportional to 83,276,004 and 180,438,372 is: 390,965,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,276,004 : 180,438,372 = 180,438,372 : x
  2. Step 2: Convert to fraction form
    83,276,004/180,438,372 = 180,438,372/x
  3. Step 3: Cross multiply
    83,276,004x = 180,438,372 × 180,438,372
  4. Step 4: Simplify right side
    83,276,004x = 32,558,006,090,010,384
  5. Step 5: Solve for x
    x = 32,558,006,090,010,384/83,276,004
  6. Step 6: Final answer
    x = 390,965,038.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.