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Finding the Third Proportional to 4,698,554.34 and 7,476,398.51

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Solution

The third proportional to 4,698,554.34 and 7,476,398.51 is: 11,896,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698,554.34 : 7,476,398.51 = 7,476,398.51 : x
  2. Step 2: Convert to fraction form
    4,698,554.34/7,476,398.51 = 7,476,398.51/x
  3. Step 3: Cross multiply
    4,698,554.34x = 7,476,398.51 × 7,476,398.51
  4. Step 4: Simplify right side
    4,698,554.34x = 55,896,534,647,620.98
  5. Step 5: Solve for x
    x = 55,896,534,647,620.98/4,698,554.34
  6. Step 6: Final answer
    x = 11,896,538.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.