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Finding the Third Proportional to 5,684,970.38 and 8,747,029.69

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Solution

The third proportional to 5,684,970.38 and 8,747,029.69 is: 13,458,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,970.38 : 8,747,029.69 = 8,747,029.69 : x
  2. Step 2: Convert to fraction form
    5,684,970.38/8,747,029.69 = 8,747,029.69/x
  3. Step 3: Cross multiply
    5,684,970.38x = 8,747,029.69 × 8,747,029.69
  4. Step 4: Simplify right side
    5,684,970.38x = 76,510,528,354,006.34
  5. Step 5: Solve for x
    x = 76,510,528,354,006.34/5,684,970.38
  6. Step 6: Final answer
    x = 13,458,386.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.