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Finding the Third Proportional to 303,669,853,642 and 653,040,976,052

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Solution

The third proportional to 303,669,853,642 and 653,040,976,052 is: 1,404,362,373,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,669,853,642 : 653,040,976,052 = 653,040,976,052 : x
  2. Step 2: Convert to fraction form
    303,669,853,642/653,040,976,052 = 653,040,976,052/x
  3. Step 3: Cross multiply
    303,669,853,642x = 653,040,976,052 × 653,040,976,052
  4. Step 4: Simplify right side
    303,669,853,642x = 426,462,516,402,948,851,892,224
  5. Step 5: Solve for x
    x = 426,462,516,402,948,851,892,224/303,669,853,642
  6. Step 6: Final answer
    x = 1,404,362,373,440.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.