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Finding the Third Proportional to 12,576,735 and 26,946,486

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Solution

The third proportional to 12,576,735 and 26,946,486 is: 57,734,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576,735 : 26,946,486 = 26,946,486 : x
  2. Step 2: Convert to fraction form
    12,576,735/26,946,486 = 26,946,486/x
  3. Step 3: Cross multiply
    12,576,735x = 26,946,486 × 26,946,486
  4. Step 4: Simplify right side
    12,576,735x = 726,113,107,748,196
  5. Step 5: Solve for x
    x = 726,113,107,748,196/12,576,735
  6. Step 6: Final answer
    x = 57,734,627.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.