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Finding the Third Proportional to 12,762,312.54 and 19,295,416.90

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Solution

The third proportional to 12,762,312.54 and 19,295,416.90 is: 29,172,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762,312.54 : 19,295,416.90 = 19,295,416.90 : x
  2. Step 2: Convert to fraction form
    12,762,312.54/19,295,416.90 = 19,295,416.90/x
  3. Step 3: Cross multiply
    12,762,312.54x = 19,295,416.90 × 19,295,416.90
  4. Step 4: Simplify right side
    12,762,312.54x = 372,313,113,284,526.69
  5. Step 5: Solve for x
    x = 372,313,113,284,526.69/12,762,312.54
  6. Step 6: Final answer
    x = 29,172,856.58

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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.