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Finding the Third Proportional to 896,347,918,714 and 1,935,812,032,668

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Solution

The third proportional to 896,347,918,714 and 1,935,812,032,668 is: 4,180,707,231,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,347,918,714 : 1,935,812,032,668 = 1,935,812,032,668 : x
  2. Step 2: Convert to fraction form
    896,347,918,714/1,935,812,032,668 = 1,935,812,032,668/x
  3. Step 3: Cross multiply
    896,347,918,714x = 1,935,812,032,668 × 1,935,812,032,668
  4. Step 4: Simplify right side
    896,347,918,714x = 3,747,368,225,822,213,740,167,168
  5. Step 5: Solve for x
    x = 3,747,368,225,822,213,740,167,168/896,347,918,714
  6. Step 6: Final answer
    x = 4,180,707,231,627.87

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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.