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Finding the Third Proportional to 996,950,112 and 2,181,537,984

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Solution

The third proportional to 996,950,112 and 2,181,537,984 is: 4,773,667,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,950,112 : 2,181,537,984 = 2,181,537,984 : x
  2. Step 2: Convert to fraction form
    996,950,112/2,181,537,984 = 2,181,537,984/x
  3. Step 3: Cross multiply
    996,950,112x = 2,181,537,984 × 2,181,537,984
  4. Step 4: Simplify right side
    996,950,112x = 4,759,107,975,634,784,256
  5. Step 5: Solve for x
    x = 4,759,107,975,634,784,256/996,950,112
  6. Step 6: Final answer
    x = 4,773,667,125.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.