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Finding the Third Proportional to 35,546,173,996 and 76,441,924,948

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Solution

The third proportional to 35,546,173,996 and 76,441,924,948 is: 164,388,096,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,546,173,996 : 76,441,924,948 = 76,441,924,948 : x
  2. Step 2: Convert to fraction form
    35,546,173,996/76,441,924,948 = 76,441,924,948/x
  3. Step 3: Cross multiply
    35,546,173,996x = 76,441,924,948 × 76,441,924,948
  4. Step 4: Simplify right side
    35,546,173,996x = 5,843,367,889,755,664,547,840
  5. Step 5: Solve for x
    x = 5,843,367,889,755,664,547,840/35,546,173,996
  6. Step 6: Final answer
    x = 164,388,096,744.62

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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.