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Finding the Third Proportional to 210,463,145,692 and 496,655,356,702

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Solution

The third proportional to 210,463,145,692 and 496,655,356,702 is: 1,172,017,754,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,463,145,692 : 496,655,356,702 = 496,655,356,702 : x
  2. Step 2: Convert to fraction form
    210,463,145,692/496,655,356,702 = 496,655,356,702/x
  3. Step 3: Cross multiply
    210,463,145,692x = 496,655,356,702 × 496,655,356,702
  4. Step 4: Simplify right side
    210,463,145,692x = 246,666,543,340,790,841,606,144
  5. Step 5: Solve for x
    x = 246,666,543,340,790,841,606,144/210,463,145,692
  6. Step 6: Final answer
    x = 1,172,017,754,128.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.