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Finding the Third Proportional to 996,984,916 and 2,181,596,938

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Solution

The third proportional to 996,984,916 and 2,181,596,938 is: 4,773,758,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,984,916 : 2,181,596,938 = 2,181,596,938 : x
  2. Step 2: Convert to fraction form
    996,984,916/2,181,596,938 = 2,181,596,938/x
  3. Step 3: Cross multiply
    996,984,916x = 2,181,596,938 × 2,181,596,938
  4. Step 4: Simplify right side
    996,984,916x = 4,759,365,199,890,975,744
  5. Step 5: Solve for x
    x = 4,759,365,199,890,975,744/996,984,916
  6. Step 6: Final answer
    x = 4,773,758,482.71

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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.