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Finding the Third Proportional to 129,465,027 and 277,294,293

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Solution

The third proportional to 129,465,027 and 277,294,293 is: 593,921,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,465,027 : 277,294,293 = 277,294,293 : x
  2. Step 2: Convert to fraction form
    129,465,027/277,294,293 = 277,294,293/x
  3. Step 3: Cross multiply
    129,465,027x = 277,294,293 × 277,294,293
  4. Step 4: Simplify right side
    129,465,027x = 76,892,124,930,369,856
  5. Step 5: Solve for x
    x = 76,892,124,930,369,856/129,465,027
  6. Step 6: Final answer
    x = 593,921,978.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.