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Finding the Third Proportional to 1,083,073,548 and 1,650,005,010

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Solution

The third proportional to 1,083,073,548 and 1,650,005,010 is: 2,513,694,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,073,548 : 1,650,005,010 = 1,650,005,010 : x
  2. Step 2: Convert to fraction form
    1,083,073,548/1,650,005,010 = 1,650,005,010/x
  3. Step 3: Cross multiply
    1,083,073,548x = 1,650,005,010 × 1,650,005,010
  4. Step 4: Simplify right side
    1,083,073,548x = 2,722,516,533,025,100,288
  5. Step 5: Solve for x
    x = 2,722,516,533,025,100,288/1,083,073,548
  6. Step 6: Final answer
    x = 2,513,694,973.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.