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Finding the Third Proportional to 9,223,852.85 and 20,185,277.20

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Solution

The third proportional to 9,223,852.85 and 20,185,277.20 is: 44,173,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223,852.85 : 20,185,277.20 = 20,185,277.20 : x
  2. Step 2: Convert to fraction form
    9,223,852.85/20,185,277.20 = 20,185,277.20/x
  3. Step 3: Cross multiply
    9,223,852.85x = 20,185,277.20 × 20,185,277.20
  4. Step 4: Simplify right side
    9,223,852.85x = 407,445,415,766,957.50
  5. Step 5: Solve for x
    x = 407,445,415,766,957.50/9,223,852.85
  6. Step 6: Final answer
    x = 44,173,017.75

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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.