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Finding the Third Proportional to 16,271,295.19 and 24,616,894.78

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Solution

The third proportional to 16,271,295.19 and 24,616,894.78 is: 37,242,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271,295.19 : 24,616,894.78 = 24,616,894.78 : x
  2. Step 2: Convert to fraction form
    16,271,295.19/24,616,894.78 = 24,616,894.78/x
  3. Step 3: Cross multiply
    16,271,295.19x = 24,616,894.78 × 24,616,894.78
  4. Step 4: Simplify right side
    16,271,295.19x = 605,991,508,671,133.50
  5. Step 5: Solve for x
    x = 605,991,508,671,133.50/16,271,295.19
  6. Step 6: Final answer
    x = 37,242,979.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.