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Finding the Third Proportional to 9,482,968.69 and 14,119,477.03

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Solution

The third proportional to 9,482,968.69 and 14,119,477.03 is: 21,022,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482,968.69 : 14,119,477.03 = 14,119,477.03 : x
  2. Step 2: Convert to fraction form
    9,482,968.69/14,119,477.03 = 14,119,477.03/x
  3. Step 3: Cross multiply
    9,482,968.69x = 14,119,477.03 × 14,119,477.03
  4. Step 4: Simplify right side
    9,482,968.69x = 199,359,631,635,996.31
  5. Step 5: Solve for x
    x = 199,359,631,635,996.31/9,482,968.69
  6. Step 6: Final answer
    x = 21,022,913.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.