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Finding the Third Proportional to 321,439,824 and 697,677,116

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Solution

The third proportional to 321,439,824 and 697,677,116 is: 1,514,290,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439,824 : 697,677,116 = 697,677,116 : x
  2. Step 2: Convert to fraction form
    321,439,824/697,677,116 = 697,677,116/x
  3. Step 3: Cross multiply
    321,439,824x = 697,677,116 × 697,677,116
  4. Step 4: Simplify right side
    321,439,824x = 486,753,358,190,077,440
  5. Step 5: Solve for x
    x = 486,753,358,190,077,440/321,439,824
  6. Step 6: Final answer
    x = 1,514,290,768.74

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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.