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Finding the Third Proportional to 6,227,481 and 13,478,490

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Solution

The third proportional to 6,227,481 and 13,478,490 is: 29,172,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227,481 : 13,478,490 = 13,478,490 : x
  2. Step 2: Convert to fraction form
    6,227,481/13,478,490 = 13,478,490/x
  3. Step 3: Cross multiply
    6,227,481x = 13,478,490 × 13,478,490
  4. Step 4: Simplify right side
    6,227,481x = 181,669,692,680,100
  5. Step 5: Solve for x
    x = 181,669,692,680,100/6,227,481
  6. Step 6: Final answer
    x = 29,172,259.65

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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.