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Finding the Third Proportional to 18,015,569,944 and 38,742,421,214

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Solution

The third proportional to 18,015,569,944 and 38,742,421,214 is: 83,315,443,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,015,569,944 : 38,742,421,214 = 38,742,421,214 : x
  2. Step 2: Convert to fraction form
    18,015,569,944/38,742,421,214 = 38,742,421,214/x
  3. Step 3: Cross multiply
    18,015,569,944x = 38,742,421,214 × 38,742,421,214
  4. Step 4: Simplify right side
    18,015,569,944x = 1,500,975,201,522,997,264,384
  5. Step 5: Solve for x
    x = 1,500,975,201,522,997,264,384/18,015,569,944
  6. Step 6: Final answer
    x = 83,315,443,596.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.