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Finding the Third Proportional to 40,709,748 and 87,796,608

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Solution

The third proportional to 40,709,748 and 87,796,608 is: 189,346,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,709,748 : 87,796,608 = 87,796,608 : x
  2. Step 2: Convert to fraction form
    40,709,748/87,796,608 = 87,796,608/x
  3. Step 3: Cross multiply
    40,709,748x = 87,796,608 × 87,796,608
  4. Step 4: Simplify right side
    40,709,748x = 7,708,244,376,305,664
  5. Step 5: Solve for x
    x = 7,708,244,376,305,664/40,709,748
  6. Step 6: Final answer
    x = 189,346,403.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.