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Finding the Third Proportional to 13,024,326 and 19,146,291

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Solution

The third proportional to 13,024,326 and 19,146,291 is: 28,145,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024,326 : 19,146,291 = 19,146,291 : x
  2. Step 2: Convert to fraction form
    13,024,326/19,146,291 = 19,146,291/x
  3. Step 3: Cross multiply
    13,024,326x = 19,146,291 × 19,146,291
  4. Step 4: Simplify right side
    13,024,326x = 366,580,459,056,681
  5. Step 5: Solve for x
    x = 366,580,459,056,681/13,024,326
  6. Step 6: Final answer
    x = 28,145,829.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.