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Finding the Third Proportional to 7,011,157.50 and 10,488,712.50

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Solution

The third proportional to 7,011,157.50 and 10,488,712.50 is: 15,691,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011,157.50 : 10,488,712.50 = 10,488,712.50 : x
  2. Step 2: Convert to fraction form
    7,011,157.50/10,488,712.50 = 10,488,712.50/x
  3. Step 3: Cross multiply
    7,011,157.50x = 10,488,712.50 × 10,488,712.50
  4. Step 4: Simplify right side
    7,011,157.50x = 110,013,089,907,656.25
  5. Step 5: Solve for x
    x = 110,013,089,907,656.25/7,011,157.50
  6. Step 6: Final answer
    x = 15,691,145.14

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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.