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Finding the Third Proportional to 32,301,270 and 49,649,370.19

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Solution

The third proportional to 32,301,270 and 49,649,370.19 is: 76,314,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301,270 : 49,649,370.19 = 49,649,370.19 : x
  2. Step 2: Convert to fraction form
    32,301,270/49,649,370.19 = 49,649,370.19/x
  3. Step 3: Cross multiply
    32,301,270x = 49,649,370.19 × 49,649,370.19
  4. Step 4: Simplify right side
    32,301,270x = 2,465,059,960,015,414
  5. Step 5: Solve for x
    x = 2,465,059,960,015,414/32,301,270
  6. Step 6: Final answer
    x = 76,314,645.21

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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.