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Finding the Third Proportional to 303,669,874,589 and 653,041,017,974

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Solution

The third proportional to 303,669,874,589 and 653,041,017,974 is: 1,404,362,456,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,669,874,589 : 653,041,017,974 = 653,041,017,974 : x
  2. Step 2: Convert to fraction form
    303,669,874,589/653,041,017,974 = 653,041,017,974/x
  3. Step 3: Cross multiply
    303,669,874,589x = 653,041,017,974 × 653,041,017,974
  4. Step 4: Simplify right side
    303,669,874,589x = 426,462,571,156,518,213,779,456
  5. Step 5: Solve for x
    x = 426,462,571,156,518,213,779,456/303,669,874,589
  6. Step 6: Final answer
    x = 1,404,362,456,874.30

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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.