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Finding the Third Proportional to 5,009,724,592 and 9,892,995,762

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Solution

The third proportional to 5,009,724,592 and 9,892,995,762 is: 19,536,276,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009,724,592 : 9,892,995,762 = 9,892,995,762 : x
  2. Step 2: Convert to fraction form
    5,009,724,592/9,892,995,762 = 9,892,995,762/x
  3. Step 3: Cross multiply
    5,009,724,592x = 9,892,995,762 × 9,892,995,762
  4. Step 4: Simplify right side
    5,009,724,592x = 97,871,365,146,949,959,680
  5. Step 5: Solve for x
    x = 97,871,365,146,949,959,680/5,009,724,592
  6. Step 6: Final answer
    x = 19,536,276,565.63

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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.