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Finding the Third Proportional to 7,114,400 and 15,578,048

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Solution

The third proportional to 7,114,400 and 15,578,048 is: 34,110,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114,400 : 15,578,048 = 15,578,048 : x
  2. Step 2: Convert to fraction form
    7,114,400/15,578,048 = 15,578,048/x
  3. Step 3: Cross multiply
    7,114,400x = 15,578,048 × 15,578,048
  4. Step 4: Simplify right side
    7,114,400x = 242,675,579,490,304
  5. Step 5: Solve for x
    x = 242,675,579,490,304/7,114,400
  6. Step 6: Final answer
    x = 34,110,477.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.