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Finding the Third Proportional to 7,765,003,089 and 16,982,837,565

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Solution

The third proportional to 7,765,003,089 and 16,982,837,565 is: 37,143,162,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,003,089 : 16,982,837,565 = 16,982,837,565 : x
  2. Step 2: Convert to fraction form
    7,765,003,089/16,982,837,565 = 16,982,837,565/x
  3. Step 3: Cross multiply
    7,765,003,089x = 16,982,837,565 × 16,982,837,565
  4. Step 4: Simplify right side
    7,765,003,089x = 288,416,771,759,175,139,328
  5. Step 5: Solve for x
    x = 288,416,771,759,175,139,328/7,765,003,089
  6. Step 6: Final answer
    x = 37,143,162,527.23

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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.