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Finding the Third Proportional to 32,301,084 and 49,649,103

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Solution

The third proportional to 32,301,084 and 49,649,103 is: 76,314,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301,084 : 49,649,103 = 49,649,103 : x
  2. Step 2: Convert to fraction form
    32,301,084/49,649,103 = 49,649,103/x
  3. Step 3: Cross multiply
    32,301,084x = 49,649,103 × 49,649,103
  4. Step 4: Simplify right side
    32,301,084x = 2,465,033,428,704,609
  5. Step 5: Solve for x
    x = 2,465,033,428,704,609/32,301,084
  6. Step 6: Final answer
    x = 76,314,263.28

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