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Finding the Third Proportional to 374,163,964 and 816,321,272

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Solution

The third proportional to 374,163,964 and 816,321,272 is: 1,780,985,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,163,964 : 816,321,272 = 816,321,272 : x
  2. Step 2: Convert to fraction form
    374,163,964/816,321,272 = 816,321,272/x
  3. Step 3: Cross multiply
    374,163,964x = 816,321,272 × 816,321,272
  4. Step 4: Simplify right side
    374,163,964x = 666,380,419,119,697,920
  5. Step 5: Solve for x
    x = 666,380,419,119,697,920/374,163,964
  6. Step 6: Final answer
    x = 1,780,985,031.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.