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Finding the Third Proportional to 8,185,107,780 and 17,759,486,088

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Solution

The third proportional to 8,185,107,780 and 17,759,486,088 is: 38,533,316,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185,107,780 : 17,759,486,088 = 17,759,486,088 : x
  2. Step 2: Convert to fraction form
    8,185,107,780/17,759,486,088 = 17,759,486,088/x
  3. Step 3: Cross multiply
    8,185,107,780x = 17,759,486,088 × 17,759,486,088
  4. Step 4: Simplify right side
    8,185,107,780x = 315,399,346,109,865,525,248
  5. Step 5: Solve for x
    x = 315,399,346,109,865,525,248/8,185,107,780
  6. Step 6: Final answer
    x = 38,533,316,186.81

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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.