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Finding the Third Proportional to 10,243,821,532.50 and 23,712,970,077

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Solution

The third proportional to 10,243,821,532.50 and 23,712,970,077 is: 54,892,107,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243,821,532.50 : 23,712,970,077 = 23,712,970,077 : x
  2. Step 2: Convert to fraction form
    10,243,821,532.50/23,712,970,077 = 23,712,970,077/x
  3. Step 3: Cross multiply
    10,243,821,532.50x = 23,712,970,077 × 23,712,970,077
  4. Step 4: Simplify right side
    10,243,821,532.50x = 562,304,949,872,697,409,536
  5. Step 5: Solve for x
    x = 562,304,949,872,697,409,536/10,243,821,532.50
  6. Step 6: Final answer
    x = 54,892,107,216.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.