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Finding the Third Proportional to 4,216,154,071 and 9,158,104,003

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Solution

The third proportional to 4,216,154,071 and 9,158,104,003 is: 19,892,742,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216,154,071 : 9,158,104,003 = 9,158,104,003 : x
  2. Step 2: Convert to fraction form
    4,216,154,071/9,158,104,003 = 9,158,104,003/x
  3. Step 3: Cross multiply
    4,216,154,071x = 9,158,104,003 × 9,158,104,003
  4. Step 4: Simplify right side
    4,216,154,071x = 83,870,868,929,764,622,336
  5. Step 5: Solve for x
    x = 83,870,868,929,764,622,336/4,216,154,071
  6. Step 6: Final answer
    x = 19,892,742,892.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.