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Finding the Third Proportional to 40,803,905 and 86,213,281

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Solution

The third proportional to 40,803,905 and 86,213,281 is: 182,157,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803,905 : 86,213,281 = 86,213,281 : x
  2. Step 2: Convert to fraction form
    40,803,905/86,213,281 = 86,213,281/x
  3. Step 3: Cross multiply
    40,803,905x = 86,213,281 × 86,213,281
  4. Step 4: Simplify right side
    40,803,905x = 7,432,729,820,784,961
  5. Step 5: Solve for x
    x = 7,432,729,820,784,961/40,803,905
  6. Step 6: Final answer
    x = 182,157,316.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.