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Finding the Third Proportional to 30,649,700 and 65,463,436

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Solution

The third proportional to 30,649,700 and 65,463,436 is: 139,820,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649,700 : 65,463,436 = 65,463,436 : x
  2. Step 2: Convert to fraction form
    30,649,700/65,463,436 = 65,463,436/x
  3. Step 3: Cross multiply
    30,649,700x = 65,463,436 × 65,463,436
  4. Step 4: Simplify right side
    30,649,700x = 4,285,461,452,926,096
  5. Step 5: Solve for x
    x = 4,285,461,452,926,096/30,649,700
  6. Step 6: Final answer
    x = 139,820,665.55

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