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Finding the Third Proportional to 7,765,003,091 and 16,982,837,569

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Solution

The third proportional to 7,765,003,091 and 16,982,837,569 is: 37,143,162,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,003,091 : 16,982,837,569 = 16,982,837,569 : x
  2. Step 2: Convert to fraction form
    7,765,003,091/16,982,837,569 = 16,982,837,569/x
  3. Step 3: Cross multiply
    7,765,003,091x = 16,982,837,569 × 16,982,837,569
  4. Step 4: Simplify right side
    7,765,003,091x = 288,416,771,895,037,820,928
  5. Step 5: Solve for x
    x = 288,416,771,895,037,820,928/7,765,003,091
  6. Step 6: Final answer
    x = 37,143,162,535.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.