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Finding the Third Proportional to 326,896,427 and 703,388,182

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Solution

The third proportional to 326,896,427 and 703,388,182 is: 1,513,491,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,896,427 : 703,388,182 = 703,388,182 : x
  2. Step 2: Convert to fraction form
    326,896,427/703,388,182 = 703,388,182/x
  3. Step 3: Cross multiply
    326,896,427x = 703,388,182 × 703,388,182
  4. Step 4: Simplify right side
    326,896,427x = 494,754,934,577,265,152
  5. Step 5: Solve for x
    x = 494,754,934,577,265,152/326,896,427
  6. Step 6: Final answer
    x = 1,513,491,411.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.