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Finding the Third Proportional to 5,712,821,973 and 8,823,924,445.50

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Solution

The third proportional to 5,712,821,973 and 8,823,924,445.50 is: 13,629,278,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712,821,973 : 8,823,924,445.50 = 8,823,924,445.50 : x
  2. Step 2: Convert to fraction form
    5,712,821,973/8,823,924,445.50 = 8,823,924,445.50/x
  3. Step 3: Cross multiply
    5,712,821,973x = 8,823,924,445.50 × 8,823,924,445.50
  4. Step 4: Simplify right side
    5,712,821,973x = 77,861,642,619,892,482,048
  5. Step 5: Solve for x
    x = 77,861,642,619,892,482,048/5,712,821,973
  6. Step 6: Final answer
    x = 13,629,278,662.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.