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Finding the Third Proportional to 674,362,539,156 and 1,456,206,771,579

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Solution

The third proportional to 674,362,539,156 and 1,456,206,771,579 is: 3,144,507,647,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,362,539,156 : 1,456,206,771,579 = 1,456,206,771,579 : x
  2. Step 2: Convert to fraction form
    674,362,539,156/1,456,206,771,579 = 1,456,206,771,579/x
  3. Step 3: Cross multiply
    674,362,539,156x = 1,456,206,771,579 × 1,456,206,771,579
  4. Step 4: Simplify right side
    674,362,539,156x = 2,120,538,161,592,533,856,026,624
  5. Step 5: Solve for x
    x = 2,120,538,161,592,533,856,026,624/674,362,539,156
  6. Step 6: Final answer
    x = 3,144,507,647,542.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.