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Finding the Third Proportional to 3,742,669.50 and 8,157,030

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Solution

The third proportional to 3,742,669.50 and 8,157,030 is: 17,777,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,669.50 : 8,157,030 = 8,157,030 : x
  2. Step 2: Convert to fraction form
    3,742,669.50/8,157,030 = 8,157,030/x
  3. Step 3: Cross multiply
    3,742,669.50x = 8,157,030 × 8,157,030
  4. Step 4: Simplify right side
    3,742,669.50x = 66,537,138,420,900
  5. Step 5: Solve for x
    x = 66,537,138,420,900/3,742,669.50
  6. Step 6: Final answer
    x = 17,777,989.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.