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Finding the Third Proportional to 32,516,702 and 47,554,278

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Solution

The third proportional to 32,516,702 and 47,554,278 is: 69,546,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516,702 : 47,554,278 = 47,554,278 : x
  2. Step 2: Convert to fraction form
    32,516,702/47,554,278 = 47,554,278/x
  3. Step 3: Cross multiply
    32,516,702x = 47,554,278 × 47,554,278
  4. Step 4: Simplify right side
    32,516,702x = 2,261,409,356,101,284
  5. Step 5: Solve for x
    x = 2,261,409,356,101,284/32,516,702
  6. Step 6: Final answer
    x = 69,546,086.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.