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Finding the Third Proportional to 5,009,724,590 and 9,892,995,758

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Solution

The third proportional to 5,009,724,590 and 9,892,995,758 is: 19,536,276,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009,724,590 : 9,892,995,758 = 9,892,995,758 : x
  2. Step 2: Convert to fraction form
    5,009,724,590/9,892,995,758 = 9,892,995,758/x
  3. Step 3: Cross multiply
    5,009,724,590x = 9,892,995,758 × 9,892,995,758
  4. Step 4: Simplify right side
    5,009,724,590x = 97,871,365,067,805,999,104
  5. Step 5: Solve for x
    x = 97,871,365,067,805,999,104/5,009,724,590
  6. Step 6: Final answer
    x = 19,536,276,557.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.