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Finding the Third Proportional to 7,513,878 and 11,414,184

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Solution

The third proportional to 7,513,878 and 11,414,184 is: 17,339,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513,878 : 11,414,184 = 11,414,184 : x
  2. Step 2: Convert to fraction form
    7,513,878/11,414,184 = 11,414,184/x
  3. Step 3: Cross multiply
    7,513,878x = 11,414,184 × 11,414,184
  4. Step 4: Simplify right side
    7,513,878x = 130,283,596,385,856
  5. Step 5: Solve for x
    x = 130,283,596,385,856/7,513,878
  6. Step 6: Final answer
    x = 17,339,061.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.