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Finding the Third Proportional to 7,702,848 and 10,768,272

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Solution

The third proportional to 7,702,848 and 10,768,272 is: 15,053,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702,848 : 10,768,272 = 10,768,272 : x
  2. Step 2: Convert to fraction form
    7,702,848/10,768,272 = 10,768,272/x
  3. Step 3: Cross multiply
    7,702,848x = 10,768,272 × 10,768,272
  4. Step 4: Simplify right side
    7,702,848x = 115,955,681,865,984
  5. Step 5: Solve for x
    x = 115,955,681,865,984/7,702,848
  6. Step 6: Final answer
    x = 15,053,611.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.