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Finding the Third Proportional to 5,090,577.50 and 7,120,721.50

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Solution

The third proportional to 5,090,577.50 and 7,120,721.50 is: 9,960,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090,577.50 : 7,120,721.50 = 7,120,721.50 : x
  2. Step 2: Convert to fraction form
    5,090,577.50/7,120,721.50 = 7,120,721.50/x
  3. Step 3: Cross multiply
    5,090,577.50x = 7,120,721.50 × 7,120,721.50
  4. Step 4: Simplify right side
    5,090,577.50x = 50,704,674,680,562.25
  5. Step 5: Solve for x
    x = 50,704,674,680,562.25/5,090,577.50
  6. Step 6: Final answer
    x = 9,960,495.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.