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Finding the Third Proportional to 639,656,014.50 and 967,357,221.75

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Solution

The third proportional to 639,656,014.50 and 967,357,221.75 is: 1,462,942,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,656,014.50 : 967,357,221.75 = 967,357,221.75 : x
  2. Step 2: Convert to fraction form
    639,656,014.50/967,357,221.75 = 967,357,221.75/x
  3. Step 3: Cross multiply
    639,656,014.50x = 967,357,221.75 × 967,357,221.75
  4. Step 4: Simplify right side
    639,656,014.50x = 935,779,994,471,878,656
  5. Step 5: Solve for x
    x = 935,779,994,471,878,656/639,656,014.50
  6. Step 6: Final answer
    x = 1,462,942,539.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.