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Finding the Third Proportional to 3,461,436 and 7,575,400

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Solution

The third proportional to 3,461,436 and 7,575,400 is: 16,578,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,436 : 7,575,400 = 7,575,400 : x
  2. Step 2: Convert to fraction form
    3,461,436/7,575,400 = 7,575,400/x
  3. Step 3: Cross multiply
    3,461,436x = 7,575,400 × 7,575,400
  4. Step 4: Simplify right side
    3,461,436x = 57,386,685,160,000
  5. Step 5: Solve for x
    x = 57,386,685,160,000/3,461,436
  6. Step 6: Final answer
    x = 16,578,866.45

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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.