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Finding the Third Proportional to 4,161,990,762 and 9,821,553,258

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Solution

The third proportional to 4,161,990,762 and 9,821,553,258 is: 23,177,107,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161,990,762 : 9,821,553,258 = 9,821,553,258 : x
  2. Step 2: Convert to fraction form
    4,161,990,762/9,821,553,258 = 9,821,553,258/x
  3. Step 3: Cross multiply
    4,161,990,762x = 9,821,553,258 × 9,821,553,258
  4. Step 4: Simplify right side
    4,161,990,762x = 96,462,908,399,730,409,472
  5. Step 5: Solve for x
    x = 96,462,908,399,730,409,472/4,161,990,762
  6. Step 6: Final answer
    x = 23,177,107,763.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.