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Finding the Third Proportional to 5,182,800.50 and 7,641,340

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Solution

The third proportional to 5,182,800.50 and 7,641,340 is: 11,266,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,800.50 : 7,641,340 = 7,641,340 : x
  2. Step 2: Convert to fraction form
    5,182,800.50/7,641,340 = 7,641,340/x
  3. Step 3: Cross multiply
    5,182,800.50x = 7,641,340 × 7,641,340
  4. Step 4: Simplify right side
    5,182,800.50x = 58,390,076,995,600
  5. Step 5: Solve for x
    x = 58,390,076,995,600/5,182,800.50
  6. Step 6: Final answer
    x = 11,266,124.75

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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.