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Finding the Third Proportional to 12,829,043.25 and 27,916,731

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Solution

The third proportional to 12,829,043.25 and 27,916,731 is: 60,748,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829,043.25 : 27,916,731 = 27,916,731 : x
  2. Step 2: Convert to fraction form
    12,829,043.25/27,916,731 = 27,916,731/x
  3. Step 3: Cross multiply
    12,829,043.25x = 27,916,731 × 27,916,731
  4. Step 4: Simplify right side
    12,829,043.25x = 779,343,869,726,361
  5. Step 5: Solve for x
    x = 779,343,869,726,361/12,829,043.25
  6. Step 6: Final answer
    x = 60,748,401.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.