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Finding the Third Proportional to 5,835,017.25 and 8,563,208.63

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Solution

The third proportional to 5,835,017.25 and 8,563,208.63 is: 12,566,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835,017.25 : 8,563,208.63 = 8,563,208.63 : x
  2. Step 2: Convert to fraction form
    5,835,017.25/8,563,208.63 = 8,563,208.63/x
  3. Step 3: Cross multiply
    5,835,017.25x = 8,563,208.63 × 8,563,208.63
  4. Step 4: Simplify right side
    5,835,017.25x = 73,328,541,955,274.39
  5. Step 5: Solve for x
    x = 73,328,541,955,274.39/5,835,017.25
  6. Step 6: Final answer
    x = 12,566,979.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.