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Finding the Third Proportional to 5,564,476 and 11,726,664

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Solution

The third proportional to 5,564,476 and 11,726,664 is: 24,712,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564,476 : 11,726,664 = 11,726,664 : x
  2. Step 2: Convert to fraction form
    5,564,476/11,726,664 = 11,726,664/x
  3. Step 3: Cross multiply
    5,564,476x = 11,726,664 × 11,726,664
  4. Step 4: Simplify right side
    5,564,476x = 137,514,648,568,896
  5. Step 5: Solve for x
    x = 137,514,648,568,896/5,564,476
  6. Step 6: Final answer
    x = 24,712,955.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.