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Finding the Third Proportional to 53,103,984 and 80,144,487

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Solution

The third proportional to 53,103,984 and 80,144,487 is: 120,953,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103,984 : 80,144,487 = 80,144,487 : x
  2. Step 2: Convert to fraction form
    53,103,984/80,144,487 = 80,144,487/x
  3. Step 3: Cross multiply
    53,103,984x = 80,144,487 × 80,144,487
  4. Step 4: Simplify right side
    53,103,984x = 6,423,138,796,493,169
  5. Step 5: Solve for x
    x = 6,423,138,796,493,169/53,103,984
  6. Step 6: Final answer
    x = 120,953,990.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.