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Finding the Third Proportional to 7,110,307.50 and 15,758,049

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Solution

The third proportional to 7,110,307.50 and 15,758,049 is: 34,923,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110,307.50 : 15,758,049 = 15,758,049 : x
  2. Step 2: Convert to fraction form
    7,110,307.50/15,758,049 = 15,758,049/x
  3. Step 3: Cross multiply
    7,110,307.50x = 15,758,049 × 15,758,049
  4. Step 4: Simplify right side
    7,110,307.50x = 248,316,108,286,401
  5. Step 5: Solve for x
    x = 248,316,108,286,401/7,110,307.50
  6. Step 6: Final answer
    x = 34,923,399.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.