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Finding the Third Proportional to 4,781,559 and 7,186,352.50

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Solution

The third proportional to 4,781,559 and 7,186,352.50 is: 10,800,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781,559 : 7,186,352.50 = 7,186,352.50 : x
  2. Step 2: Convert to fraction form
    4,781,559/7,186,352.50 = 7,186,352.50/x
  3. Step 3: Cross multiply
    4,781,559x = 7,186,352.50 × 7,186,352.50
  4. Step 4: Simplify right side
    4,781,559x = 51,643,662,254,256.25
  5. Step 5: Solve for x
    x = 51,643,662,254,256.25/4,781,559
  6. Step 6: Final answer
    x = 10,800,590.82

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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.