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Finding the Third Proportional to 1,842,066,724.50 and 3,007,610,757

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Solution

The third proportional to 1,842,066,724.50 and 3,007,610,757 is: 4,910,637,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,066,724.50 : 3,007,610,757 = 3,007,610,757 : x
  2. Step 2: Convert to fraction form
    1,842,066,724.50/3,007,610,757 = 3,007,610,757/x
  3. Step 3: Cross multiply
    1,842,066,724.50x = 3,007,610,757 × 3,007,610,757
  4. Step 4: Simplify right side
    1,842,066,724.50x = 9,045,722,465,622,113,280
  5. Step 5: Solve for x
    x = 9,045,722,465,622,113,280/1,842,066,724.50
  6. Step 6: Final answer
    x = 4,910,637,788.15

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.