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Finding the Third Proportional to 7,801,806 and 10,352,160

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Solution

The third proportional to 7,801,806 and 10,352,160 is: 13,736,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801,806 : 10,352,160 = 10,352,160 : x
  2. Step 2: Convert to fraction form
    7,801,806/10,352,160 = 10,352,160/x
  3. Step 3: Cross multiply
    7,801,806x = 10,352,160 × 10,352,160
  4. Step 4: Simplify right side
    7,801,806x = 107,167,216,665,600
  5. Step 5: Solve for x
    x = 107,167,216,665,600/7,801,806
  6. Step 6: Final answer
    x = 13,736,206.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.