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Finding the Third Proportional to 1,760,168,799 and 3,730,190,076

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Solution

The third proportional to 1,760,168,799 and 3,730,190,076 is: 7,905,104,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,168,799 : 3,730,190,076 = 3,730,190,076 : x
  2. Step 2: Convert to fraction form
    1,760,168,799/3,730,190,076 = 3,730,190,076/x
  3. Step 3: Cross multiply
    1,760,168,799x = 3,730,190,076 × 3,730,190,076
  4. Step 4: Simplify right side
    1,760,168,799x = 13,914,318,003,088,885,760
  5. Step 5: Solve for x
    x = 13,914,318,003,088,885,760/1,760,168,799
  6. Step 6: Final answer
    x = 7,905,104,334.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.