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Finding the Third Proportional to 4,824,829,962 and 10,504,016,748

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Solution

The third proportional to 4,824,829,962 and 10,504,016,748 is: 22,868,032,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824,829,962 : 10,504,016,748 = 10,504,016,748 : x
  2. Step 2: Convert to fraction form
    4,824,829,962/10,504,016,748 = 10,504,016,748/x
  3. Step 3: Cross multiply
    4,824,829,962x = 10,504,016,748 × 10,504,016,748
  4. Step 4: Simplify right side
    4,824,829,962x = 110,334,367,842,264,498,176
  5. Step 5: Solve for x
    x = 110,334,367,842,264,498,176/4,824,829,962
  6. Step 6: Final answer
    x = 22,868,032,388.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.