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Finding the Third Proportional to 326,513,372 and 710,420,176

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Solution

The third proportional to 326,513,372 and 710,420,176 is: 1,545,715,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,513,372 : 710,420,176 = 710,420,176 : x
  2. Step 2: Convert to fraction form
    326,513,372/710,420,176 = 710,420,176/x
  3. Step 3: Cross multiply
    326,513,372x = 710,420,176 × 710,420,176
  4. Step 4: Simplify right side
    326,513,372x = 504,696,826,467,870,976
  5. Step 5: Solve for x
    x = 504,696,826,467,870,976/326,513,372
  6. Step 6: Final answer
    x = 1,545,715,642.14

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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.