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Finding the Third Proportional to 2,196,518,171 and 3,346,168,486

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Solution

The third proportional to 2,196,518,171 and 3,346,168,486 is: 5,097,541,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,518,171 : 3,346,168,486 = 3,346,168,486 : x
  2. Step 2: Convert to fraction form
    2,196,518,171/3,346,168,486 = 3,346,168,486/x
  3. Step 3: Cross multiply
    2,196,518,171x = 3,346,168,486 × 3,346,168,486
  4. Step 4: Simplify right side
    2,196,518,171x = 11,196,843,536,699,531,264
  5. Step 5: Solve for x
    x = 11,196,843,536,699,531,264/2,196,518,171
  6. Step 6: Final answer
    x = 5,097,541,957.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.