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Finding the Third Proportional to 471,509,643 and 991,881,923

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Solution

The third proportional to 471,509,643 and 991,881,923 is: 2,086,552,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,509,643 : 991,881,923 = 991,881,923 : x
  2. Step 2: Convert to fraction form
    471,509,643/991,881,923 = 991,881,923/x
  3. Step 3: Cross multiply
    471,509,643x = 991,881,923 × 991,881,923
  4. Step 4: Simplify right side
    471,509,643x = 983,829,749,174,177,920
  5. Step 5: Solve for x
    x = 983,829,749,174,177,920/471,509,643
  6. Step 6: Final answer
    x = 2,086,552,764.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.