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Finding the Third Proportional to 3,481,216,106 and 7,513,730,446

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Solution

The third proportional to 3,481,216,106 and 7,513,730,446 is: 16,217,362,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481,216,106 : 7,513,730,446 = 7,513,730,446 : x
  2. Step 2: Convert to fraction form
    3,481,216,106/7,513,730,446 = 7,513,730,446/x
  3. Step 3: Cross multiply
    3,481,216,106x = 7,513,730,446 × 7,513,730,446
  4. Step 4: Simplify right side
    3,481,216,106x = 56,456,145,215,147,360,256
  5. Step 5: Solve for x
    x = 56,456,145,215,147,360,256/3,481,216,106
  6. Step 6: Final answer
    x = 16,217,362,983.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.