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Finding the Third Proportional to 824,135,916 and 1,791,406,392

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Solution

The third proportional to 824,135,916 and 1,791,406,392 is: 3,893,941,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,135,916 : 1,791,406,392 = 1,791,406,392 : x
  2. Step 2: Convert to fraction form
    824,135,916/1,791,406,392 = 1,791,406,392/x
  3. Step 3: Cross multiply
    824,135,916x = 1,791,406,392 × 1,791,406,392
  4. Step 4: Simplify right side
    824,135,916x = 3,209,136,861,298,457,600
  5. Step 5: Solve for x
    x = 3,209,136,861,298,457,600/824,135,916
  6. Step 6: Final answer
    x = 3,893,941,277.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.