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Finding the Third Proportional to 444,671,550 and 965,891,700

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Solution

The third proportional to 444,671,550 and 965,891,700 is: 2,098,058,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,671,550 : 965,891,700 = 965,891,700 : x
  2. Step 2: Convert to fraction form
    444,671,550/965,891,700 = 965,891,700/x
  3. Step 3: Cross multiply
    444,671,550x = 965,891,700 × 965,891,700
  4. Step 4: Simplify right side
    444,671,550x = 932,946,776,128,889,984
  5. Step 5: Solve for x
    x = 932,946,776,128,889,984/444,671,550
  6. Step 6: Final answer
    x = 2,098,058,164.79

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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.