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Finding the Third Proportional to 336,013,734 and 527,106,357

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Solution

The third proportional to 336,013,734 and 527,106,357 is: 826,874,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,013,734 : 527,106,357 = 527,106,357 : x
  2. Step 2: Convert to fraction form
    336,013,734/527,106,357 = 527,106,357/x
  3. Step 3: Cross multiply
    336,013,734x = 527,106,357 × 527,106,357
  4. Step 4: Simplify right side
    336,013,734x = 277,841,111,589,811,456
  5. Step 5: Solve for x
    x = 277,841,111,589,811,456/336,013,734
  6. Step 6: Final answer
    x = 826,874,271.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.