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Finding the Third Proportional to 12,564,663 and 27,354,215

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Solution

The third proportional to 12,564,663 and 27,354,215 is: 59,552,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564,663 : 27,354,215 = 27,354,215 : x
  2. Step 2: Convert to fraction form
    12,564,663/27,354,215 = 27,354,215/x
  3. Step 3: Cross multiply
    12,564,663x = 27,354,215 × 27,354,215
  4. Step 4: Simplify right side
    12,564,663x = 748,253,078,266,225
  5. Step 5: Solve for x
    x = 748,253,078,266,225/12,564,663
  6. Step 6: Final answer
    x = 59,552,180.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.