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Finding the Third Proportional to 7,634,500 and 15,800,411

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Solution

The third proportional to 7,634,500 and 15,800,411 is: 32,700,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634,500 : 15,800,411 = 15,800,411 : x
  2. Step 2: Convert to fraction form
    7,634,500/15,800,411 = 15,800,411/x
  3. Step 3: Cross multiply
    7,634,500x = 15,800,411 × 15,800,411
  4. Step 4: Simplify right side
    7,634,500x = 249,652,987,768,921
  5. Step 5: Solve for x
    x = 249,652,987,768,921/7,634,500
  6. Step 6: Final answer
    x = 32,700,633.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.