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Finding the Third Proportional to 6,806,089.50 and 10,543,746

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Solution

The third proportional to 6,806,089.50 and 10,543,746 is: 16,333,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806,089.50 : 10,543,746 = 10,543,746 : x
  2. Step 2: Convert to fraction form
    6,806,089.50/10,543,746 = 10,543,746/x
  3. Step 3: Cross multiply
    6,806,089.50x = 10,543,746 × 10,543,746
  4. Step 4: Simplify right side
    6,806,089.50x = 111,170,579,712,516
  5. Step 5: Solve for x
    x = 111,170,579,712,516/6,806,089.50
  6. Step 6: Final answer
    x = 16,333,987.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.