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Finding the Third Proportional to 5,133,820.18 and 7,684,737.84

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Solution

The third proportional to 5,133,820.18 and 7,684,737.84 is: 11,503,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133,820.18 : 7,684,737.84 = 7,684,737.84 : x
  2. Step 2: Convert to fraction form
    5,133,820.18/7,684,737.84 = 7,684,737.84/x
  3. Step 3: Cross multiply
    5,133,820.18x = 7,684,737.84 × 7,684,737.84
  4. Step 4: Simplify right side
    5,133,820.18x = 59,055,195,637,113.65
  5. Step 5: Solve for x
    x = 59,055,195,637,113.65/5,133,820.18
  6. Step 6: Final answer
    x = 11,503,167.92

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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.