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Finding the Third Proportional to 467,108,238 and 657,045,570

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Solution

The third proportional to 467,108,238 and 657,045,570 is: 924,215,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,108,238 : 657,045,570 = 657,045,570 : x
  2. Step 2: Convert to fraction form
    467,108,238/657,045,570 = 657,045,570/x
  3. Step 3: Cross multiply
    467,108,238x = 657,045,570 × 657,045,570
  4. Step 4: Simplify right side
    467,108,238x = 431,708,881,056,624,896
  5. Step 5: Solve for x
    x = 431,708,881,056,624,896/467,108,238
  6. Step 6: Final answer
    x = 924,215,943.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.