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Finding the Third Proportional to 312,844,810 and 473,293,771

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Solution

The third proportional to 312,844,810 and 473,293,771 is: 716,032,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,810 : 473,293,771 = 473,293,771 : x
  2. Step 2: Convert to fraction form
    312,844,810/473,293,771 = 473,293,771/x
  3. Step 3: Cross multiply
    312,844,810x = 473,293,771 × 473,293,771
  4. Step 4: Simplify right side
    312,844,810x = 224,006,993,667,400,448
  5. Step 5: Solve for x
    x = 224,006,993,667,400,448/312,844,810
  6. Step 6: Final answer
    x = 716,032,315.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.