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Finding the Third Proportional to 9,580,692 and 14,470,507

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Solution

The third proportional to 9,580,692 and 14,470,507 is: 21,855,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580,692 : 14,470,507 = 14,470,507 : x
  2. Step 2: Convert to fraction form
    9,580,692/14,470,507 = 14,470,507/x
  3. Step 3: Cross multiply
    9,580,692x = 14,470,507 × 14,470,507
  4. Step 4: Simplify right side
    9,580,692x = 209,395,572,837,049
  5. Step 5: Solve for x
    x = 209,395,572,837,049/9,580,692
  6. Step 6: Final answer
    x = 21,855,996.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.