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Finding the Third Proportional to 31,926,351 and 48,686,656.50

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Solution

The third proportional to 31,926,351 and 48,686,656.50 is: 74,245,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926,351 : 48,686,656.50 = 48,686,656.50 : x
  2. Step 2: Convert to fraction form
    31,926,351/48,686,656.50 = 48,686,656.50/x
  3. Step 3: Cross multiply
    31,926,351x = 48,686,656.50 × 48,686,656.50
  4. Step 4: Simplify right side
    31,926,351x = 2,370,390,521,148,992
  5. Step 5: Solve for x
    x = 2,370,390,521,148,992/31,926,351
  6. Step 6: Final answer
    x = 74,245,582.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.