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Finding the Third Proportional to 1,052,681,232 and 2,281,092,288

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Solution

The third proportional to 1,052,681,232 and 2,281,092,288 is: 4,942,979,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,681,232 : 2,281,092,288 = 2,281,092,288 : x
  2. Step 2: Convert to fraction form
    1,052,681,232/2,281,092,288 = 2,281,092,288/x
  3. Step 3: Cross multiply
    1,052,681,232x = 2,281,092,288 × 2,281,092,288
  4. Step 4: Simplify right side
    1,052,681,232x = 5,203,382,026,373,074,944
  5. Step 5: Solve for x
    x = 5,203,382,026,373,074,944/1,052,681,232
  6. Step 6: Final answer
    x = 4,942,979,762.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.