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Finding the Third Proportional to 421,650,523,602 and 642,355,406,464.50

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Solution

The third proportional to 421,650,523,602 and 642,355,406,464.50 is: 978,584,028,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650,523,602 : 642,355,406,464.50 = 642,355,406,464.50 : x
  2. Step 2: Convert to fraction form
    421,650,523,602/642,355,406,464.50 = 642,355,406,464.50/x
  3. Step 3: Cross multiply
    421,650,523,602x = 642,355,406,464.50 × 642,355,406,464.50
  4. Step 4: Simplify right side
    421,650,523,602x = 412,620,468,214,172,997,386,240
  5. Step 5: Solve for x
    x = 412,620,468,214,172,997,386,240/421,650,523,602
  6. Step 6: Final answer
    x = 978,584,028,994.71

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