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Finding the Third Proportional to 4,636,189.50 and 10,197,328.50

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Solution

The third proportional to 4,636,189.50 and 10,197,328.50 is: 22,429,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636,189.50 : 10,197,328.50 = 10,197,328.50 : x
  2. Step 2: Convert to fraction form
    4,636,189.50/10,197,328.50 = 10,197,328.50/x
  3. Step 3: Cross multiply
    4,636,189.50x = 10,197,328.50 × 10,197,328.50
  4. Step 4: Simplify right side
    4,636,189.50x = 103,985,508,536,912.25
  5. Step 5: Solve for x
    x = 103,985,508,536,912.25/4,636,189.50
  6. Step 6: Final answer
    x = 22,429,089.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.