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Finding the Third Proportional to 32,477,438 and 45,694,947

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Solution

The third proportional to 32,477,438 and 45,694,947 is: 64,291,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477,438 : 45,694,947 = 45,694,947 : x
  2. Step 2: Convert to fraction form
    32,477,438/45,694,947 = 45,694,947/x
  3. Step 3: Cross multiply
    32,477,438x = 45,694,947 × 45,694,947
  4. Step 4: Simplify right side
    32,477,438x = 2,088,028,181,332,809
  5. Step 5: Solve for x
    x = 2,088,028,181,332,809/32,477,438
  6. Step 6: Final answer
    x = 64,291,653.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.