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Finding the Third Proportional to 32,030,235 and 49,638,015

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Solution

The third proportional to 32,030,235 and 49,638,015 is: 76,925,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030,235 : 49,638,015 = 49,638,015 : x
  2. Step 2: Convert to fraction form
    32,030,235/49,638,015 = 49,638,015/x
  3. Step 3: Cross multiply
    32,030,235x = 49,638,015 × 49,638,015
  4. Step 4: Simplify right side
    32,030,235x = 2,463,932,533,140,225
  5. Step 5: Solve for x
    x = 2,463,932,533,140,225/32,030,235
  6. Step 6: Final answer
    x = 76,925,209.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.