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Finding the Third Proportional to 47,326,409 and 72,699,159

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Solution

The third proportional to 47,326,409 and 72,699,159 is: 111,674,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,326,409 : 72,699,159 = 72,699,159 : x
  2. Step 2: Convert to fraction form
    47,326,409/72,699,159 = 72,699,159/x
  3. Step 3: Cross multiply
    47,326,409x = 72,699,159 × 72,699,159
  4. Step 4: Simplify right side
    47,326,409x = 5,285,167,719,307,281
  5. Step 5: Solve for x
    x = 5,285,167,719,307,281/47,326,409
  6. Step 6: Final answer
    x = 111,674,809.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.