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Finding the Third Proportional to 309,055,050 and 654,956,675

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Solution

The third proportional to 309,055,050 and 654,956,675 is: 1,387,999,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,055,050 : 654,956,675 = 654,956,675 : x
  2. Step 2: Convert to fraction form
    309,055,050/654,956,675 = 654,956,675/x
  3. Step 3: Cross multiply
    309,055,050x = 654,956,675 × 654,956,675
  4. Step 4: Simplify right side
    309,055,050x = 428,968,246,127,055,616
  5. Step 5: Solve for x
    x = 428,968,246,127,055,616/309,055,050
  6. Step 6: Final answer
    x = 1,387,999,471.70

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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.