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Finding the Third Proportional to 321,857,210 and 695,168,230

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Solution

The third proportional to 321,857,210 and 695,168,230 is: 1,501,469,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,857,210 : 695,168,230 = 695,168,230 : x
  2. Step 2: Convert to fraction form
    321,857,210/695,168,230 = 695,168,230/x
  3. Step 3: Cross multiply
    321,857,210x = 695,168,230 × 695,168,230
  4. Step 4: Simplify right side
    321,857,210x = 483,258,868,001,332,928
  5. Step 5: Solve for x
    x = 483,258,868,001,332,928/321,857,210
  6. Step 6: Final answer
    x = 1,501,469,760.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.