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Finding the Third Proportional to 4,619,262,878 and 9,483,406,909.50

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Solution

The third proportional to 4,619,262,878 and 9,483,406,909.50 is: 19,469,558,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619,262,878 : 9,483,406,909.50 = 9,483,406,909.50 : x
  2. Step 2: Convert to fraction form
    4,619,262,878/9,483,406,909.50 = 9,483,406,909.50/x
  3. Step 3: Cross multiply
    4,619,262,878x = 9,483,406,909.50 × 9,483,406,909.50
  4. Step 4: Simplify right side
    4,619,262,878x = 89,935,006,611,152,338,944
  5. Step 5: Solve for x
    x = 89,935,006,611,152,338,944/4,619,262,878
  6. Step 6: Final answer
    x = 19,469,558,019.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.