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Finding the Third Proportional to 312,847,841 and 473,297,543

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Solution

The third proportional to 312,847,841 and 473,297,543 is: 716,036,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,847,841 : 473,297,543 = 473,297,543 : x
  2. Step 2: Convert to fraction form
    312,847,841/473,297,543 = 473,297,543/x
  3. Step 3: Cross multiply
    312,847,841x = 473,297,543 × 473,297,543
  4. Step 4: Simplify right side
    312,847,841x = 224,010,564,209,836,864
  5. Step 5: Solve for x
    x = 224,010,564,209,836,864/312,847,841
  6. Step 6: Final answer
    x = 716,036,791.22

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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.