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Finding the Third Proportional to 873,704,502.84 and 1,877,080,571.72

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Solution

The third proportional to 873,704,502.84 and 1,877,080,571.72 is: 4,032,749,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,704,502.84 : 1,877,080,571.72 = 1,877,080,571.72 : x
  2. Step 2: Convert to fraction form
    873,704,502.84/1,877,080,571.72 = 1,877,080,571.72/x
  3. Step 3: Cross multiply
    873,704,502.84x = 1,877,080,571.72 × 1,877,080,571.72
  4. Step 4: Simplify right side
    873,704,502.84x = 3,523,431,472,724,177,408
  5. Step 5: Solve for x
    x = 3,523,431,472,724,177,408/873,704,502.84
  6. Step 6: Final answer
    x = 4,032,749,586.68

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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.