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Finding the Third Proportional to 7,766,946 and 11,650,419

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Solution

The third proportional to 7,766,946 and 11,650,419 is: 17,475,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,946 : 11,650,419 = 11,650,419 : x
  2. Step 2: Convert to fraction form
    7,766,946/11,650,419 = 11,650,419/x
  3. Step 3: Cross multiply
    7,766,946x = 11,650,419 × 11,650,419
  4. Step 4: Simplify right side
    7,766,946x = 135,732,262,875,561
  5. Step 5: Solve for x
    x = 135,732,262,875,561/7,766,946
  6. Step 6: Final answer
    x = 17,475,628.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.