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Finding the Third Proportional to 309,055,045 and 654,956,666

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Solution

The third proportional to 309,055,045 and 654,956,666 is: 1,387,999,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,055,045 : 654,956,666 = 654,956,666 : x
  2. Step 2: Convert to fraction form
    309,055,045/654,956,666 = 654,956,666/x
  3. Step 3: Cross multiply
    309,055,045x = 654,956,666 × 654,956,666
  4. Step 4: Simplify right side
    309,055,045x = 428,968,234,337,835,584
  5. Step 5: Solve for x
    x = 428,968,234,337,835,584/309,055,045
  6. Step 6: Final answer
    x = 1,387,999,456.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.