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Finding the Third Proportional to 32,368,094 and 69,353,080

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Solution

The third proportional to 32,368,094 and 69,353,080 is: 148,598,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,368,094 : 69,353,080 = 69,353,080 : x
  2. Step 2: Convert to fraction form
    32,368,094/69,353,080 = 69,353,080/x
  3. Step 3: Cross multiply
    32,368,094x = 69,353,080 × 69,353,080
  4. Step 4: Simplify right side
    32,368,094x = 4,809,849,705,486,400
  5. Step 5: Solve for x
    x = 4,809,849,705,486,400/32,368,094
  6. Step 6: Final answer
    x = 148,598,484.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.