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Finding the Third Proportional to 5,849,764.88 and 13,043,849.63

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Solution

The third proportional to 5,849,764.88 and 13,043,849.63 is: 29,085,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,764.88 : 13,043,849.63 = 13,043,849.63 : x
  2. Step 2: Convert to fraction form
    5,849,764.88/13,043,849.63 = 13,043,849.63/x
  3. Step 3: Cross multiply
    5,849,764.88x = 13,043,849.63 × 13,043,849.63
  4. Step 4: Simplify right side
    5,849,764.88x = 170,142,013,039,612.62
  5. Step 5: Solve for x
    x = 170,142,013,039,612.62/5,849,764.88
  6. Step 6: Final answer
    x = 29,085,273.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.