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Finding the Third Proportional to 12,762,343.13 and 19,295,416.69

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Solution

The third proportional to 12,762,343.13 and 19,295,416.69 is: 29,172,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762,343.13 : 19,295,416.69 = 19,295,416.69 : x
  2. Step 2: Convert to fraction form
    12,762,343.13/19,295,416.69 = 19,295,416.69/x
  3. Step 3: Cross multiply
    12,762,343.13x = 19,295,416.69 × 19,295,416.69
  4. Step 4: Simplify right side
    12,762,343.13x = 372,313,105,144,253.50
  5. Step 5: Solve for x
    x = 372,313,105,144,253.50/12,762,343.13
  6. Step 6: Final answer
    x = 29,172,786.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.