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Finding the Third Proportional to 4,977,720 and 10,637,784

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Solution

The third proportional to 4,977,720 and 10,637,784 is: 22,733,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,720 : 10,637,784 = 10,637,784 : x
  2. Step 2: Convert to fraction form
    4,977,720/10,637,784 = 10,637,784/x
  3. Step 3: Cross multiply
    4,977,720x = 10,637,784 × 10,637,784
  4. Step 4: Simplify right side
    4,977,720x = 113,162,448,430,656
  5. Step 5: Solve for x
    x = 113,162,448,430,656/4,977,720
  6. Step 6: Final answer
    x = 22,733,791.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.