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Finding the Third Proportional to 672,044,455.50 and 1,054,238,497.50

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Solution

The third proportional to 672,044,455.50 and 1,054,238,497.50 is: 1,653,787,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,044,455.50 : 1,054,238,497.50 = 1,054,238,497.50 : x
  2. Step 2: Convert to fraction form
    672,044,455.50/1,054,238,497.50 = 1,054,238,497.50/x
  3. Step 3: Cross multiply
    672,044,455.50x = 1,054,238,497.50 × 1,054,238,497.50
  4. Step 4: Simplify right side
    672,044,455.50x = 1,111,418,809,611,057,536
  5. Step 5: Solve for x
    x = 1,111,418,809,611,057,536/672,044,455.50
  6. Step 6: Final answer
    x = 1,653,787,633.42

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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.