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Finding the Third Proportional to 4,421,077.50 and 7,030,201.50

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Solution

The third proportional to 4,421,077.50 and 7,030,201.50 is: 11,179,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421,077.50 : 7,030,201.50 = 7,030,201.50 : x
  2. Step 2: Convert to fraction form
    4,421,077.50/7,030,201.50 = 7,030,201.50/x
  3. Step 3: Cross multiply
    4,421,077.50x = 7,030,201.50 × 7,030,201.50
  4. Step 4: Simplify right side
    4,421,077.50x = 49,423,733,130,602.25
  5. Step 5: Solve for x
    x = 49,423,733,130,602.25/4,421,077.50
  6. Step 6: Final answer
    x = 11,179,114.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.