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Finding the Third Proportional to 8,845,919.50 and 18,921,730.50

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Solution

The third proportional to 8,845,919.50 and 18,921,730.50 is: 40,474,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,845,919.50 : 18,921,730.50 = 18,921,730.50 : x
  2. Step 2: Convert to fraction form
    8,845,919.50/18,921,730.50 = 18,921,730.50/x
  3. Step 3: Cross multiply
    8,845,919.50x = 18,921,730.50 × 18,921,730.50
  4. Step 4: Simplify right side
    8,845,919.50x = 358,031,885,114,630.25
  5. Step 5: Solve for x
    x = 358,031,885,114,630.25/8,845,919.50
  6. Step 6: Final answer
    x = 40,474,241.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.