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Finding the Third Proportional to 76,675,407 and 165,042,516

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Solution

The third proportional to 76,675,407 and 165,042,516 is: 355,251,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,407 : 165,042,516 = 165,042,516 : x
  2. Step 2: Convert to fraction form
    76,675,407/165,042,516 = 165,042,516/x
  3. Step 3: Cross multiply
    76,675,407x = 165,042,516 × 165,042,516
  4. Step 4: Simplify right side
    76,675,407x = 27,239,032,087,610,256
  5. Step 5: Solve for x
    x = 27,239,032,087,610,256/76,675,407
  6. Step 6: Final answer
    x = 355,251,222.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.