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Finding the Third Proportional to 11,505,872,812,200 and 25,037,242,733,796

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Solution

The third proportional to 11,505,872,812,200 and 25,037,242,733,796 is: 54,482,048,771,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505,872,812,200 : 25,037,242,733,796 = 25,037,242,733,796 : x
  2. Step 2: Convert to fraction form
    11,505,872,812,200/25,037,242,733,796 = 25,037,242,733,796/x
  3. Step 3: Cross multiply
    11,505,872,812,200x = 25,037,242,733,796 × 25,037,242,733,796
  4. Step 4: Simplify right side
    11,505,872,812,200x = 626,863,523,711,020,616,715,862,016
  5. Step 5: Solve for x
    x = 626,863,523,711,020,616,715,862,016/11,505,872,812,200
  6. Step 6: Final answer
    x = 54,482,048,771,331.77

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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.