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Finding the Third Proportional to 870,812,876 and 1,880,155,192

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Solution

The third proportional to 870,812,876 and 1,880,155,192 is: 4,059,406,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,812,876 : 1,880,155,192 = 1,880,155,192 : x
  2. Step 2: Convert to fraction form
    870,812,876/1,880,155,192 = 1,880,155,192/x
  3. Step 3: Cross multiply
    870,812,876x = 1,880,155,192 × 1,880,155,192
  4. Step 4: Simplify right side
    870,812,876x = 3,534,983,546,004,556,800
  5. Step 5: Solve for x
    x = 3,534,983,546,004,556,800/870,812,876
  6. Step 6: Final answer
    x = 4,059,406,611.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.