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Finding the Third Proportional to 996,984,913 and 2,181,596,930

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Solution

The third proportional to 996,984,913 and 2,181,596,930 is: 4,773,758,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,984,913 : 2,181,596,930 = 2,181,596,930 : x
  2. Step 2: Convert to fraction form
    996,984,913/2,181,596,930 = 2,181,596,930/x
  3. Step 3: Cross multiply
    996,984,913x = 2,181,596,930 × 2,181,596,930
  4. Step 4: Simplify right side
    996,984,913x = 4,759,365,164,985,424,896
  5. Step 5: Solve for x
    x = 4,759,365,164,985,424,896/996,984,913
  6. Step 6: Final answer
    x = 4,773,758,462.07

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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.