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Finding the Third Proportional to 19,406,835,036 and 29,811,272,832

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Solution

The third proportional to 19,406,835,036 and 29,811,272,832 is: 45,793,762,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406,835,036 : 29,811,272,832 = 29,811,272,832 : x
  2. Step 2: Convert to fraction form
    19,406,835,036/29,811,272,832 = 29,811,272,832/x
  3. Step 3: Cross multiply
    19,406,835,036x = 29,811,272,832 × 29,811,272,832
  4. Step 4: Simplify right side
    19,406,835,036x = 888,711,987,863,941,283,840
  5. Step 5: Solve for x
    x = 888,711,987,863,941,283,840/19,406,835,036
  6. Step 6: Final answer
    x = 45,793,762,157.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.