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Finding the Third Proportional to 6,924,110.34 and 16,029,420.01

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Solution

The third proportional to 6,924,110.34 and 16,029,420.01 is: 37,108,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924,110.34 : 16,029,420.01 = 16,029,420.01 : x
  2. Step 2: Convert to fraction form
    6,924,110.34/16,029,420.01 = 16,029,420.01/x
  3. Step 3: Cross multiply
    6,924,110.34x = 16,029,420.01 × 16,029,420.01
  4. Step 4: Simplify right side
    6,924,110.34x = 256,942,305,912,065.47
  5. Step 5: Solve for x
    x = 256,942,305,912,065.47/6,924,110.34
  6. Step 6: Final answer
    x = 37,108,349.40

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.