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Finding the Third Proportional to 1,206,435,331,038 and 1,799,190,930,285

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Solution

The third proportional to 1,206,435,331,038 and 1,799,190,930,285 is: 2,683,184,021,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,435,331,038 : 1,799,190,930,285 = 1,799,190,930,285 : x
  2. Step 2: Convert to fraction form
    1,206,435,331,038/1,799,190,930,285 = 1,799,190,930,285/x
  3. Step 3: Cross multiply
    1,206,435,331,038x = 1,799,190,930,285 × 1,799,190,930,285
  4. Step 4: Simplify right side
    1,206,435,331,038x = 3,237,088,003,619,803,679,948,800
  5. Step 5: Solve for x
    x = 3,237,088,003,619,803,679,948,800/1,206,435,331,038
  6. Step 6: Final answer
    x = 2,683,184,021,836.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.