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Finding the Third Proportional to 312,844,830 and 473,293,801

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Solution

The third proportional to 312,844,830 and 473,293,801 is: 716,032,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844,830 : 473,293,801 = 473,293,801 : x
  2. Step 2: Convert to fraction form
    312,844,830/473,293,801 = 473,293,801/x
  3. Step 3: Cross multiply
    312,844,830x = 473,293,801 × 473,293,801
  4. Step 4: Simplify right side
    312,844,830x = 224,007,022,065,027,616
  5. Step 5: Solve for x
    x = 224,007,022,065,027,616/312,844,830
  6. Step 6: Final answer
    x = 716,032,360.40

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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.