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Finding the Third Proportional to 896,347,918,716 and 1,935,812,032,672

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Solution

The third proportional to 896,347,918,716 and 1,935,812,032,672 is: 4,180,707,231,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,347,918,716 : 1,935,812,032,672 = 1,935,812,032,672 : x
  2. Step 2: Convert to fraction form
    896,347,918,716/1,935,812,032,672 = 1,935,812,032,672/x
  3. Step 3: Cross multiply
    896,347,918,716x = 1,935,812,032,672 × 1,935,812,032,672
  4. Step 4: Simplify right side
    896,347,918,716x = 3,747,368,225,837,700,318,494,720
  5. Step 5: Solve for x
    x = 3,747,368,225,837,700,318,494,720/896,347,918,716
  6. Step 6: Final answer
    x = 4,180,707,231,635.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.