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Finding the Third Proportional to 4,411,558.69 and 9,692,996.63

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Solution

The third proportional to 4,411,558.69 and 9,692,996.63 is: 21,297,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411,558.69 : 9,692,996.63 = 9,692,996.63 : x
  2. Step 2: Convert to fraction form
    4,411,558.69/9,692,996.63 = 9,692,996.63/x
  3. Step 3: Cross multiply
    4,411,558.69x = 9,692,996.63 × 9,692,996.63
  4. Step 4: Simplify right side
    4,411,558.69x = 93,954,183,572,261.39
  5. Step 5: Solve for x
    x = 93,954,183,572,261.39/4,411,558.69
  6. Step 6: Final answer
    x = 21,297,276.14

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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.