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Finding the Third Proportional to 22,632,462,822 and 47,610,332,238

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Solution

The third proportional to 22,632,462,822 and 47,610,332,238 is: 100,154,532,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632,462,822 : 47,610,332,238 = 47,610,332,238 : x
  2. Step 2: Convert to fraction form
    22,632,462,822/47,610,332,238 = 47,610,332,238/x
  3. Step 3: Cross multiply
    22,632,462,822x = 47,610,332,238 × 47,610,332,238
  4. Step 4: Simplify right side
    22,632,462,822x = 2,266,743,735,812,742,184,960
  5. Step 5: Solve for x
    x = 2,266,743,735,812,742,184,960/22,632,462,822
  6. Step 6: Final answer
    x = 100,154,532,612.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.