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Finding the Third Proportional to 19,000,032 and 39,866,304

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Solution

The third proportional to 19,000,032 and 39,866,304 is: 83,648,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000,032 : 39,866,304 = 39,866,304 : x
  2. Step 2: Convert to fraction form
    19,000,032/39,866,304 = 39,866,304/x
  3. Step 3: Cross multiply
    19,000,032x = 39,866,304 × 39,866,304
  4. Step 4: Simplify right side
    19,000,032x = 1,589,322,194,620,416
  5. Step 5: Solve for x
    x = 1,589,322,194,620,416/19,000,032
  6. Step 6: Final answer
    x = 83,648,395.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.