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Finding the Third Proportional to 273,632,468 and 424,054,984

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Solution

The third proportional to 273,632,468 and 424,054,984 is: 657,168,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,632,468 : 424,054,984 = 424,054,984 : x
  2. Step 2: Convert to fraction form
    273,632,468/424,054,984 = 424,054,984/x
  3. Step 3: Cross multiply
    273,632,468x = 424,054,984 × 424,054,984
  4. Step 4: Simplify right side
    273,632,468x = 179,822,629,455,240,256
  5. Step 5: Solve for x
    x = 179,822,629,455,240,256/273,632,468
  6. Step 6: Final answer
    x = 657,168,466.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.