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Finding the Third Proportional to 1,233,187,378 and 2,877,536,653

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Solution

The third proportional to 1,233,187,378 and 2,877,536,653 is: 6,714,484,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,187,378 : 2,877,536,653 = 2,877,536,653 : x
  2. Step 2: Convert to fraction form
    1,233,187,378/2,877,536,653 = 2,877,536,653/x
  3. Step 3: Cross multiply
    1,233,187,378x = 2,877,536,653 × 2,877,536,653
  4. Step 4: Simplify right side
    1,233,187,378x = 8,280,217,189,358,442,496
  5. Step 5: Solve for x
    x = 8,280,217,189,358,442,496/1,233,187,378
  6. Step 6: Final answer
    x = 6,714,484,219.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.