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Finding the Third Proportional to 1,979,749,290 and 4,300,004,946

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Solution

The third proportional to 1,979,749,290 and 4,300,004,946 is: 9,339,587,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979,749,290 : 4,300,004,946 = 4,300,004,946 : x
  2. Step 2: Convert to fraction form
    1,979,749,290/4,300,004,946 = 4,300,004,946/x
  3. Step 3: Cross multiply
    1,979,749,290x = 4,300,004,946 × 4,300,004,946
  4. Step 4: Simplify right side
    1,979,749,290x = 18,490,042,535,624,462,336
  5. Step 5: Solve for x
    x = 18,490,042,535,624,462,336/1,979,749,290
  6. Step 6: Final answer
    x = 9,339,587,910.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.