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Finding the Third Proportional to 9,205,260 and 13,807,890

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Solution

The third proportional to 9,205,260 and 13,807,890 is: 20,711,835

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205,260 : 13,807,890 = 13,807,890 : x
  2. Step 2: Convert to fraction form
    9,205,260/13,807,890 = 13,807,890/x
  3. Step 3: Cross multiply
    9,205,260x = 13,807,890 × 13,807,890
  4. Step 4: Simplify right side
    9,205,260x = 190,657,826,252,100
  5. Step 5: Solve for x
    x = 190,657,826,252,100/9,205,260
  6. Step 6: Final answer
    x = 20,711,835

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.