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Finding the Third Proportional to 5,877,921 and 12,736,723

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Solution

The third proportional to 5,877,921 and 12,736,723 is: 27,598,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,921 : 12,736,723 = 12,736,723 : x
  2. Step 2: Convert to fraction form
    5,877,921/12,736,723 = 12,736,723/x
  3. Step 3: Cross multiply
    5,877,921x = 12,736,723 × 12,736,723
  4. Step 4: Simplify right side
    5,877,921x = 162,224,112,778,729
  5. Step 5: Solve for x
    x = 162,224,112,778,729/5,877,921
  6. Step 6: Final answer
    x = 27,598,893.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.