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Finding the Third Proportional to 13,762,162.50 and 19,287,577.13

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Solution

The third proportional to 13,762,162.50 and 19,287,577.13 is: 27,031,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762,162.50 : 19,287,577.13 = 19,287,577.13 : x
  2. Step 2: Convert to fraction form
    13,762,162.50/19,287,577.13 = 19,287,577.13/x
  3. Step 3: Cross multiply
    13,762,162.50x = 19,287,577.13 × 19,287,577.13
  4. Step 4: Simplify right side
    13,762,162.50x = 372,010,631,352,823.25
  5. Step 5: Solve for x
    x = 372,010,631,352,823.25/13,762,162.50
  6. Step 6: Final answer
    x = 27,031,408.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.