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Finding the Third Proportional to 11,524,311,297 and 26,677,119,658.50

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Solution

The third proportional to 11,524,311,297 and 26,677,119,658.50 is: 61,753,687,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524,311,297 : 26,677,119,658.50 = 26,677,119,658.50 : x
  2. Step 2: Convert to fraction form
    11,524,311,297/26,677,119,658.50 = 26,677,119,658.50/x
  3. Step 3: Cross multiply
    11,524,311,297x = 26,677,119,658.50 × 26,677,119,658.50
  4. Step 4: Simplify right side
    11,524,311,297x = 711,668,713,273,927,139,328
  5. Step 5: Solve for x
    x = 711,668,713,273,927,139,328/11,524,311,297
  6. Step 6: Final answer
    x = 61,753,687,047.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.