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Finding the Third Proportional to 13,223,829 and 31,114,866.75

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Solution

The third proportional to 13,223,829 and 31,114,866.75 is: 73,211,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223,829 : 31,114,866.75 = 31,114,866.75 : x
  2. Step 2: Convert to fraction form
    13,223,829/31,114,866.75 = 31,114,866.75/x
  3. Step 3: Cross multiply
    13,223,829x = 31,114,866.75 × 31,114,866.75
  4. Step 4: Simplify right side
    13,223,829x = 968,134,932,870,255.50
  5. Step 5: Solve for x
    x = 968,134,932,870,255.50/13,223,829
  6. Step 6: Final answer
    x = 73,211,392.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.