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Finding the Third Proportional to 7,726,464 and 12,298,923

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Solution

The third proportional to 7,726,464 and 12,298,923 is: 19,577,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,464 : 12,298,923 = 12,298,923 : x
  2. Step 2: Convert to fraction form
    7,726,464/12,298,923 = 12,298,923/x
  3. Step 3: Cross multiply
    7,726,464x = 12,298,923 × 12,298,923
  4. Step 4: Simplify right side
    7,726,464x = 151,263,506,959,929
  5. Step 5: Solve for x
    x = 151,263,506,959,929/7,726,464
  6. Step 6: Final answer
    x = 19,577,326.31

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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.