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Finding the Third Proportional to 1,767,640,080 and 2,658,840,017

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Solution

The third proportional to 1,767,640,080 and 2,658,840,017 is: 3,999,360,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,640,080 : 2,658,840,017 = 2,658,840,017 : x
  2. Step 2: Convert to fraction form
    1,767,640,080/2,658,840,017 = 2,658,840,017/x
  3. Step 3: Cross multiply
    1,767,640,080x = 2,658,840,017 × 2,658,840,017
  4. Step 4: Simplify right side
    1,767,640,080x = 7,069,430,236,000,560,128
  5. Step 5: Solve for x
    x = 7,069,430,236,000,560,128/1,767,640,080
  6. Step 6: Final answer
    x = 3,999,360,682.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.