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Finding the Third Proportional to 10,352,839.50 and 21,776,283

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Solution

The third proportional to 10,352,839.50 and 21,776,283 is: 45,804,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352,839.50 : 21,776,283 = 21,776,283 : x
  2. Step 2: Convert to fraction form
    10,352,839.50/21,776,283 = 21,776,283/x
  3. Step 3: Cross multiply
    10,352,839.50x = 21,776,283 × 21,776,283
  4. Step 4: Simplify right side
    10,352,839.50x = 474,206,501,296,089
  5. Step 5: Solve for x
    x = 474,206,501,296,089/10,352,839.50
  6. Step 6: Final answer
    x = 45,804,486.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.