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Finding the Third Proportional to 320,420,292 and 657,827,032

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Solution

The third proportional to 320,420,292 and 657,827,032 is: 1,350,527,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,420,292 : 657,827,032 = 657,827,032 : x
  2. Step 2: Convert to fraction form
    320,420,292/657,827,032 = 657,827,032/x
  3. Step 3: Cross multiply
    320,420,292x = 657,827,032 × 657,827,032
  4. Step 4: Simplify right side
    320,420,292x = 432,736,404,029,929,024
  5. Step 5: Solve for x
    x = 432,736,404,029,929,024/320,420,292
  6. Step 6: Final answer
    x = 1,350,527,462.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.