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Finding the Third Proportional to 6,485,312 and 14,078,272

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Solution

The third proportional to 6,485,312 and 14,078,272 is: 30,561,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,312 : 14,078,272 = 14,078,272 : x
  2. Step 2: Convert to fraction form
    6,485,312/14,078,272 = 14,078,272/x
  3. Step 3: Cross multiply
    6,485,312x = 14,078,272 × 14,078,272
  4. Step 4: Simplify right side
    6,485,312x = 198,197,742,505,984
  5. Step 5: Solve for x
    x = 198,197,742,505,984/6,485,312
  6. Step 6: Final answer
    x = 30,561,018.88

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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.