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Finding the Third Proportional to 7,199,648 and 14,688,952

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Solution

The third proportional to 7,199,648 and 14,688,952 is: 29,968,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199,648 : 14,688,952 = 14,688,952 : x
  2. Step 2: Convert to fraction form
    7,199,648/14,688,952 = 14,688,952/x
  3. Step 3: Cross multiply
    7,199,648x = 14,688,952 × 14,688,952
  4. Step 4: Simplify right side
    7,199,648x = 215,765,310,858,304
  5. Step 5: Solve for x
    x = 215,765,310,858,304/7,199,648
  6. Step 6: Final answer
    x = 29,968,869.43

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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.