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Finding the Third Proportional to 3,537,120 and 7,578,960

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Solution

The third proportional to 3,537,120 and 7,578,960 is: 16,239,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537,120 : 7,578,960 = 7,578,960 : x
  2. Step 2: Convert to fraction form
    3,537,120/7,578,960 = 7,578,960/x
  3. Step 3: Cross multiply
    3,537,120x = 7,578,960 × 7,578,960
  4. Step 4: Simplify right side
    3,537,120x = 57,440,634,681,600
  5. Step 5: Solve for x
    x = 57,440,634,681,600/3,537,120
  6. Step 6: Final answer
    x = 16,239,379.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.