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Finding the Third Proportional to 280,501,174,908 and 600,720,131,844

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Solution

The third proportional to 280,501,174,908 and 600,720,131,844 is: 1,286,499,697,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,501,174,908 : 600,720,131,844 = 600,720,131,844 : x
  2. Step 2: Convert to fraction form
    280,501,174,908/600,720,131,844 = 600,720,131,844/x
  3. Step 3: Cross multiply
    280,501,174,908x = 600,720,131,844 × 600,720,131,844
  4. Step 4: Simplify right side
    280,501,174,908x = 360,864,676,802,672,770,154,496
  5. Step 5: Solve for x
    x = 360,864,676,802,672,770,154,496/280,501,174,908
  6. Step 6: Final answer
    x = 1,286,499,697,981.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.