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Finding the Third Proportional to 7,430,084 and 15,175,032

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Solution

The third proportional to 7,430,084 and 15,175,032 is: 30,993,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430,084 : 15,175,032 = 15,175,032 : x
  2. Step 2: Convert to fraction form
    7,430,084/15,175,032 = 15,175,032/x
  3. Step 3: Cross multiply
    7,430,084x = 15,175,032 × 15,175,032
  4. Step 4: Simplify right side
    7,430,084x = 230,281,596,201,024
  5. Step 5: Solve for x
    x = 230,281,596,201,024/7,430,084
  6. Step 6: Final answer
    x = 30,993,134.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.