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Finding the Third Proportional to 5,849,277 and 12,623,376

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Solution

The third proportional to 5,849,277 and 12,623,376 is: 27,242,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,277 : 12,623,376 = 12,623,376 : x
  2. Step 2: Convert to fraction form
    5,849,277/12,623,376 = 12,623,376/x
  3. Step 3: Cross multiply
    5,849,277x = 12,623,376 × 12,623,376
  4. Step 4: Simplify right side
    5,849,277x = 159,349,621,637,376
  5. Step 5: Solve for x
    x = 159,349,621,637,376/5,849,277
  6. Step 6: Final answer
    x = 27,242,618.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.