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Finding the Third Proportional to 7,385,210 and 10,838,190

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Solution

The third proportional to 7,385,210 and 10,838,190 is: 15,905,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385,210 : 10,838,190 = 10,838,190 : x
  2. Step 2: Convert to fraction form
    7,385,210/10,838,190 = 10,838,190/x
  3. Step 3: Cross multiply
    7,385,210x = 10,838,190 × 10,838,190
  4. Step 4: Simplify right side
    7,385,210x = 117,466,362,476,100
  5. Step 5: Solve for x
    x = 117,466,362,476,100/7,385,210
  6. Step 6: Final answer
    x = 15,905,622.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.