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Finding the Third Proportional to 11,963,643 and 25,946,454

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Solution

The third proportional to 11,963,643 and 25,946,454 is: 56,272,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963,643 : 25,946,454 = 25,946,454 : x
  2. Step 2: Convert to fraction form
    11,963,643/25,946,454 = 25,946,454/x
  3. Step 3: Cross multiply
    11,963,643x = 25,946,454 × 25,946,454
  4. Step 4: Simplify right side
    11,963,643x = 673,218,475,174,116
  5. Step 5: Solve for x
    x = 673,218,475,174,116/11,963,643
  6. Step 6: Final answer
    x = 56,272,029.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.