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Finding the Third Proportional to 1,739,688,720,021 and 3,528,982,508,328

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Solution

The third proportional to 1,739,688,720,021 and 3,528,982,508,328 is: 7,158,589,580,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,688,720,021 : 3,528,982,508,328 = 3,528,982,508,328 : x
  2. Step 2: Convert to fraction form
    1,739,688,720,021/3,528,982,508,328 = 3,528,982,508,328/x
  3. Step 3: Cross multiply
    1,739,688,720,021x = 3,528,982,508,328 × 3,528,982,508,328
  4. Step 4: Simplify right side
    1,739,688,720,021x = 12,453,717,544,084,982,537,912,320
  5. Step 5: Solve for x
    x = 12,453,717,544,084,982,537,912,320/1,739,688,720,021
  6. Step 6: Final answer
    x = 7,158,589,580,286.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.