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Finding the Third Proportional to 4,619,262,880 and 9,483,406,916

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Solution

The third proportional to 4,619,262,880 and 9,483,406,916 is: 19,469,558,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619,262,880 : 9,483,406,916 = 9,483,406,916 : x
  2. Step 2: Convert to fraction form
    4,619,262,880/9,483,406,916 = 9,483,406,916/x
  3. Step 3: Cross multiply
    4,619,262,880x = 9,483,406,916 × 9,483,406,916
  4. Step 4: Simplify right side
    4,619,262,880x = 89,935,006,734,436,630,528
  5. Step 5: Solve for x
    x = 89,935,006,734,436,630,528/4,619,262,880
  6. Step 6: Final answer
    x = 19,469,558,037.89

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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.