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Finding the Third Proportional to 312,844,800 and 473,293,764

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Solution

The third proportional to 312,844,800 and 473,293,764 is: 716,032,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,800 : 473,293,764 = 473,293,764 : x
  2. Step 2: Convert to fraction form
    312,844,800/473,293,764 = 473,293,764/x
  3. Step 3: Cross multiply
    312,844,800x = 473,293,764 × 473,293,764
  4. Step 4: Simplify right side
    312,844,800x = 224,006,987,041,287,680
  5. Step 5: Solve for x
    x = 224,006,987,041,287,680/312,844,800
  6. Step 6: Final answer
    x = 716,032,317.11

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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.