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Finding the Third Proportional to 7,476,148 and 11,712,452

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Solution

The third proportional to 7,476,148 and 11,712,452 is: 18,349,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476,148 : 11,712,452 = 11,712,452 : x
  2. Step 2: Convert to fraction form
    7,476,148/11,712,452 = 11,712,452/x
  3. Step 3: Cross multiply
    7,476,148x = 11,712,452 × 11,712,452
  4. Step 4: Simplify right side
    7,476,148x = 137,181,531,852,304
  5. Step 5: Solve for x
    x = 137,181,531,852,304/7,476,148
  6. Step 6: Final answer
    x = 18,349,226.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.