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Finding the Third Proportional to 8,294,045.63 and 18,182,421.84

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Solution

The third proportional to 8,294,045.63 and 18,182,421.84 is: 39,859,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294,045.63 : 18,182,421.84 = 18,182,421.84 : x
  2. Step 2: Convert to fraction form
    8,294,045.63/18,182,421.84 = 18,182,421.84/x
  3. Step 3: Cross multiply
    8,294,045.63x = 18,182,421.84 × 18,182,421.84
  4. Step 4: Simplify right side
    8,294,045.63x = 330,600,464,104,077.12
  5. Step 5: Solve for x
    x = 330,600,464,104,077.12/8,294,045.63
  6. Step 6: Final answer
    x = 39,859,976.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.