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Finding the Third Proportional to 346,405,197 and 753,791,676

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Solution

The third proportional to 346,405,197 and 753,791,676 is: 1,640,281,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,405,197 : 753,791,676 = 753,791,676 : x
  2. Step 2: Convert to fraction form
    346,405,197/753,791,676 = 753,791,676/x
  3. Step 3: Cross multiply
    346,405,197x = 753,791,676 × 753,791,676
  4. Step 4: Simplify right side
    346,405,197x = 568,201,890,806,888,960
  5. Step 5: Solve for x
    x = 568,201,890,806,888,960/346,405,197
  6. Step 6: Final answer
    x = 1,640,281,080.44

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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.