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Finding the Third Proportional to 8,566,464 and 13,775,904

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Solution

The third proportional to 8,566,464 and 13,775,904 is: 22,153,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566,464 : 13,775,904 = 13,775,904 : x
  2. Step 2: Convert to fraction form
    8,566,464/13,775,904 = 13,775,904/x
  3. Step 3: Cross multiply
    8,566,464x = 13,775,904 × 13,775,904
  4. Step 4: Simplify right side
    8,566,464x = 189,775,531,017,216
  5. Step 5: Solve for x
    x = 189,775,531,017,216/8,566,464
  6. Step 6: Final answer
    x = 22,153,309.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.