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Finding the Third Proportional to 10,029,214.50 and 21,980,922

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Solution

The third proportional to 10,029,214.50 and 21,980,922 is: 48,175,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029,214.50 : 21,980,922 = 21,980,922 : x
  2. Step 2: Convert to fraction form
    10,029,214.50/21,980,922 = 21,980,922/x
  3. Step 3: Cross multiply
    10,029,214.50x = 21,980,922 × 21,980,922
  4. Step 4: Simplify right side
    10,029,214.50x = 483,160,931,970,084
  5. Step 5: Solve for x
    x = 483,160,931,970,084/10,029,214.50
  6. Step 6: Final answer
    x = 48,175,351.32

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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.