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Finding the Third Proportional to 444,671,520 and 965,891,643

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Solution

The third proportional to 444,671,520 and 965,891,643 is: 2,098,058,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,671,520 : 965,891,643 = 965,891,643 : x
  2. Step 2: Convert to fraction form
    444,671,520/965,891,643 = 965,891,643/x
  3. Step 3: Cross multiply
    444,671,520x = 965,891,643 × 965,891,643
  4. Step 4: Simplify right side
    444,671,520x = 932,946,666,017,239,424
  5. Step 5: Solve for x
    x = 932,946,666,017,239,424/444,671,520
  6. Step 6: Final answer
    x = 2,098,058,058.72

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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.