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Finding the Third Proportional to 30,248,068 and 46,493,466

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Solution

The third proportional to 30,248,068 and 46,493,466 is: 71,463,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,248,068 : 46,493,466 = 46,493,466 : x
  2. Step 2: Convert to fraction form
    30,248,068/46,493,466 = 46,493,466/x
  3. Step 3: Cross multiply
    30,248,068x = 46,493,466 × 46,493,466
  4. Step 4: Simplify right side
    30,248,068x = 2,161,642,380,693,156
  5. Step 5: Solve for x
    x = 2,161,642,380,693,156/30,248,068
  6. Step 6: Final answer
    x = 71,463,816.49

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Why These Related Problems?

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