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Finding the Third Proportional to 30,281,714 and 45,411,435

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Solution

The third proportional to 30,281,714 and 45,411,435 is: 68,100,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281,714 : 45,411,435 = 45,411,435 : x
  2. Step 2: Convert to fraction form
    30,281,714/45,411,435 = 45,411,435/x
  3. Step 3: Cross multiply
    30,281,714x = 45,411,435 × 45,411,435
  4. Step 4: Simplify right side
    30,281,714x = 2,062,198,428,759,225
  5. Step 5: Solve for x
    x = 2,062,198,428,759,225/30,281,714
  6. Step 6: Final answer
    x = 68,100,452.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.