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Finding the Third Proportional to 924,937,188 and 2,182,757,881.50

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Solution

The third proportional to 924,937,188 and 2,182,757,881.50 is: 5,151,087,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,937,188 : 2,182,757,881.50 = 2,182,757,881.50 : x
  2. Step 2: Convert to fraction form
    924,937,188/2,182,757,881.50 = 2,182,757,881.50/x
  3. Step 3: Cross multiply
    924,937,188x = 2,182,757,881.50 × 2,182,757,881.50
  4. Step 4: Simplify right side
    924,937,188x = 4,764,431,969,250,368,512
  5. Step 5: Solve for x
    x = 4,764,431,969,250,368,512/924,937,188
  6. Step 6: Final answer
    x = 5,151,087,047.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.