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Finding the Third Proportional to 129,473,754 and 277,369,338

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Solution

The third proportional to 129,473,754 and 277,369,338 is: 594,203,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,473,754 : 277,369,338 = 277,369,338 : x
  2. Step 2: Convert to fraction form
    129,473,754/277,369,338 = 277,369,338/x
  3. Step 3: Cross multiply
    129,473,754x = 277,369,338 × 277,369,338
  4. Step 4: Simplify right side
    129,473,754x = 76,933,749,662,558,240
  5. Step 5: Solve for x
    x = 76,933,749,662,558,240/129,473,754
  6. Step 6: Final answer
    x = 594,203,437.27

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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.